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Sketch the graph of each. 14. Polar: r = 2/1 ?

Sketch the graph of each. 14. Polar: r = 2/1 ? cos ?. 15. Parametric: x=t ? 1, y=2t, for t in [?2, 3]. .

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Sketch the graph of each. 14. Polar: r = 2/1 ?

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Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2.

Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2. y = x2 ? 2x ? 3 .

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Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2.

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Sketch the graph of each equation. 1. y2/9 ? x2 /4=

Sketch the graph of each equation. 1. y2/9 ? x2 /4= 1. 2. x = y2 ? 4y + 4 .

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Sketch the graph of each equation. 1. y2/9 ? x2 /4=

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12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles the

12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles is the approximate radius of Earth, find the distance along the surface of Earth from the equator to the North Pole. Round to to the nearest mile. 14. Find the exact value of cos ? for an angle ? in standard position whose.

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12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles the

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16. A car crosses an intersection traveling at 52 mph.

16. A car crosses an intersection traveling at 52 mph. At exactly the same time, a truck is on the intersecting road two miles from the point of intersection, traveling at 60 mph away from the intersection. The angle between the roads on which the vehicles are traveling is 55°. If the car.

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16. A car crosses an intersection traveling at 52 mph.

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11. cos(19?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?/2)= a.-1 b.1 c.0 d. undefined

11. cos(19?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?/2)= a.-1 b.1 c.0 d. undefined 13. Two trains leave the same train station at exactly the same moment. One train travels northeast at 50 mph. The other train travels due west at 40 mph. How far apart are the trains after 2 hours? a. 166.5 miles b. 71.3 miles.

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11. cos(19?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?/2)= a.-1 b.1 c.0 d. undefined

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3. (x?1)2 + y2 = 16 4. (x + 2)2

3. (x?1)2 + y2 = 16 4. (x + 2)2 + 4y2 = 16 .

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3. (x?1)2 + y2 = 16 4. (x + 2)2

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3. x2/16 ? y2/4 = 1 4. (x + 2)2

3. x2/16 ? y2/4 = 1 4. (x + 2)2 + (y ? 3)2 = 1 .

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3. x2/16 ? y2/4 = 1 4. (x + 2)2

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3. y2/4 ? x2/9 = 1 4. (x + 2)2

3. y2/4 ? x2/9 = 1 4. (x + 2)2 + (y + 3)2 = 4 .

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3. y2/4 ? x2/9 = 1 4. (x + 2)2

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1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3)

1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3) .

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1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3)

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Sketch the graph of each equation. 1. y2 ? 4y +

Sketch the graph of each equation. 1. y2 ? 4y + 1 ? x = 0 2. (x + 1)2 + 4y2 = 4 .

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Sketch the graph of each equation. 1. y2 ? 4y +

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Graph each equation in the xy-plane. 11. f(x) = ex +

Graph each equation in the xy-plane. 11. f(x) = ex + 2 12. g(x) = log2(x - 2) Solve each problem. 13. Find x, if f(x) = 2x and f(x) = 1/4. 14. A student has found a great investment deal. She has found a way to receive an annual interest rate of 12% compounded.

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Graph each equation in the xy-plane. 11. f(x) = ex +

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Sketch the graph of each. 14. Polar: r = 3/1 ?

Sketch the graph of each. 14. Polar: r = 3/1 ? sin ?. 15. Parametric: x= 3 ? t, y=t + 2, for t in [?2, 3]. .

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Sketch the graph of each. 14. Polar: r = 3/1 ?

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11. A drawing compass opened to a width of 2

11. A drawing compass is opened to a width of 2 units. The sharp end of the compass is placed on a coordinate system 3 units to the left and 1 unit up from a point of origin. Give the equation of the path traced by the pencil end of the compass. a. (x.

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11. A drawing compass opened to a width of 2

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Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with diameter whose endpoints are (1, 5) and ( 3, 4). 6. A parabola with vertex (2, 3) and directrix x = 0. 7. An ellipse with foci (0, ?6) and y-intercepts (? 2 , 0). 8. A hyperbola with vertices of the fundamental.

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Determine the equation of each conic section. 5. A circle with

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1. Give the equation of the directrix for the parabola

1. Give the equation of the directrix for the parabola x = 1/8 (y ? 2)2 + 3. a. x = 1 b. x = ?3 c. x = ?5 d. x = ? 1 2. Give the equation of the parabola with vertex (2, 1) and directrix x = 5. a. x= ? 1/12 (y?1)2.

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1. Give the equation of the directrix for the parabola

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Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with center (2, ?1) and radius 4. 6. A parabola with focus (2, 1) and directrix y= ? 1. 7. An ellipse with foci (? 1, 0) and x-intercepts (? 3, 0). 8. A hyperbola with foci (0, ?4) and vertices ( ? 3,.

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Determine the equation of each conic section. 5. A circle with

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Graph each equation in the xy-plane. 11. f(x) = 2-x +

Graph each equation in the xy-plane. 11. f(x) = 2-x + 1 12. g(x) = ln(x + 1) .

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Graph each equation in the xy-plane. 11. f(x) = 2-x +

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1. Change 3x = 4 to logarithmic form. 2. Change ln(1)

1. Change 3x = 4 to logarithmic form. 2. Change ln(1) = 0 to exponential form. Simplify each expression. 3. log 5(25) 4. 7log7(x) 5. 1/3 log 2(1/8) Find the exact solution to each equation. 6. 8x-1 = 16x+3 7. log(x) - log(3) = log(x + 2) 8. log2(5 - x) = 2 - log2(x) Find an approximate.

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1. Change 3x = 4 to logarithmic form. 2. Change ln(1)

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____ 11. Solve for x, rounding to four decimal places:

11. Solve for x, rounding to four decimal places: log x (22.2) = 3. a. 2.8218 b. 10941.0480 c. 2.8105 d. 0.1351 12. Which of the following statements are true? a. D and E only b. B and C only c. A and E only d. B and D only 13..

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____ 11. Solve for x, rounding to four decimal places:

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16. The bearing of an airplane 315° with an air

16. The bearing of an airplane is 315° with an air speed of 500 mph. If the wind is blowing at a bearing of 30° at 20 mph, find the ground speed and the bearing of the course. 17. Solve each triangle that exists with the given parts. If there is more.

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16. The bearing of an airplane 315° with an air

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11. cos(17?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?)= a.-1 b.1 c.0 d. undefined

11. cos(17?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?)= a.-1 b.1 c.0 d. undefined 13.The bearing of an airplane is 315° with an air speed of 500 mph. If the wind is blowing at a bearing of 60° at 25 mph, find the bearing of the actual course of the plane. a. 321.5° b. 317.8° c. 15° d. 255° 14..

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11. cos(17?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?)= a.-1 b.1 c.0 d. undefined

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Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write

Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write each expression as a single logarithm. 4. log2(3x) + log2(x) - log2(y) 5. 1/3 log3(8) - 2 log 3(x) Find the exact solution to each equation. 6. 25x+1 = 1252x-2 7. 3 log(x) = log(x) 8. log 3(x - 2) = 1 - log3(x) Find an approximate.

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Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write

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12. y=tan(1/2x) period: _ range: _ 13. If 3950 miles the approximate radius

12. y=tan(1/2x) period: _ range: _ 13. If 3950 miles is the approximate radius of Earth, find the distance along the surface of Earth from the equator to the North Pole. Round to to the nearest mile. 14. Find the exact value of cos ? for an angle ? in standard position whose terminal side contains.

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12. y=tan(1/2x) period: _ range: _ 13. If 3950 miles the approximate radius

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1. Two-thirds of a counter clock wise revolution is: a.-120 b. 2/3? c.

1. Two-thirds of a counter clock wise revolution is: a.-120 b. 2/3? c. 240 d. -240 2. Write as a single trigonometric function: 4cos x. sin 3x +4sin x. cos3x. a. 2sin 2x b.sin 2x c. 4(sin 2x)4 d.4 sin4 x.cos4x 3. Convert 210° to radian measure a. 2?/3 b. -5?/6 c. 7?/6 d. 3.67 4. Use identities to simplify: cot ? cos ?+ sin.

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1. Two-thirds of a counter clock wise revolution is: a.-120 b. 2/3? c.

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Sketch the graph of each. 14. Polar: r = 9/4 ?

Sketch the graph of each. 14. Polar: r = 9/4 ? 3cos ?. 15. Parametric: x= 2t ? 1, y=t + 2, for t in [?2, 3]. .

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Sketch the graph of each. 14. Polar: r = 9/4 ?

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Let f(x) = 2x, g(x) = (1/3)1-x, and h(x) =

Let f(x) = 2x, g(x) = (1/3)1-x, and h(x) = 42x-1. Evaluate each of the following. 13. f(-2) 14. g(1) 15. h(0) Solve each problem. 16. Rewrite the following as a sum or difference of multiples of logarithms: 17. Find the B-intercept for the graph of y = e(x+2) - 1. 18. A radioactive substance decays exponentially.

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Let f(x) = 2x, g(x) = (1/3)1-x, and h(x) =

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16. A car crosses an intersection traveling at 52 mph.

16. A car crosses an intersection traveling at 52 mph. At exactly the same time, a truck is on the intersecting road two miles from the point of intersection, traveling at 60 mph away from the intersection. The angle between the roads on which the vehicles are traveling is 50°. If the car.

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16. A car crosses an intersection traveling at 52 mph.

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12. y=tan(x-?/4) period: _ range: _ 13. Find the exact value of the

12. y=tan(x-?/4) period: _ range: _ 13. Find the exact value of the arc length intercepted by a central angle of 205° in a circle with a radius of 3 centimeters 14. Find the exact value of cos ? for an angle ? in standard position whose terminal side contains the point (-3,7). 15. Matt, a six-footer,.

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12. y=tan(x-?/4) period: _ range: _ 13. Find the exact value of the

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____ 1. If g(x) = 4x, then g(x) = 1/2

1. If g(x) = 4x, then g(x) = 1/2 when x equals what value? a. 1/8 b. -2 c. -1/2 d. 1/2 2. The range of the function y = 1 - 2x is given by: a. (-∞, 1) b. (1, ∞) c. (-∞, -1) d.(- ∞, ∞) 3. A student wishes to invest.

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____ 1. If g(x) = 4x, then g(x) = 1/2

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Sketch at least one cycle of the graph of each

Sketch at least one cycle of the graph of each function. Draw and label the axes appropriately. Determine the period and range for each function. 10.y=cos(?x) period: ___ range: _ 11. y=tan(x-?/6) period: _ range: ___ .

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Sketch at least one cycle of the graph of each

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1. Two-thirds of a clockwise revolution is: a.-120 b. 2/3? c. 240 d. -240 2.

1. Two-thirds of a clockwise revolution is: a.-120 b. 2/3? c. 240 d. -240 2. Write as a single trigonometric function: 2cos x. sin 3x +2sin x. cos3x. a. 2sin 2x b.sin 2x c. 4(sin 2x)4 d.4 sin4 x.cos4x 3. Convert 150° to radian measure a. 2?/3 b. 5?/6 c. -7?/6 d. 2.62 4. Use identities to simplify: tan ? sin ?+ cos ? a. tan.

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1. Two-thirds of a clockwise revolution is: a.-120 b. 2/3? c. 240 d. -240 2.

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Graph each equation in the xy-plane. 11. f(x) = 1 -

Graph each equation in the xy-plane. 11. f(x) = 1 - ex 12. g(x) = log 3(x+1) .

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Graph each equation in the xy-plane. 11. f(x) = 1 -

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3. x2 + (y + 2)2 = 4 4. 4x

3. x2 + (y + 2)2 = 4 4. 4x 2 + (y ? 1)2 = 16 .

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3. x2 + (y + 2)2 = 4 4. 4x

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Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with center (1, ?2) and radius 2. 6. A parabola with focus (2, 1) and directrix y= ? 2. 7. An ellipse with foci (? 1, 0) and x-intercepts (0, ? 3 ). 8. A hyperbola with foci (?5, 0) and vertices ( ?.

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Determine the equation of each conic section. 5. A circle with

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Graph each equation in the xy-plane. 11. f(x) = 3-x -

Graph each equation in the xy-plane. 11. f(x) = 3-x - 2 12. g(x) = ln(x - 2) .

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Graph each equation in the xy-plane. 11. f(x) = 3-x -

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____ 1. If g(x) = 16x, then g(x) = 1/4

1. If g(x) = 16x, then g(x) = 1/4 when x equals what value? a. 1/2 b. -2 c. 1/64 d. -1/2 2. The range of the function y = 2 - 3x is given by: a. (-∞, -3) b. (2, ∞) c. (-∞, –2) d. (-∞, 2) 3. A student wishes to invest.

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____ 1. If g(x) = 16x, then g(x) = 1/4

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Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with center (2, 3) which passes through the point (5, ? 1). 6. A parabola with focus (3,2) and vertex (3, 0). 7. An ellipse with foci (0, ?4) and y-intercepts (0, ? 7 ). 8. A hyperbola whose transverse axis has endpoints (?7,.

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Determine the equation of each conic section. 5. A circle with

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11. A drawing compass opened to a width of 2

11. A drawing compass is opened to a width of 2 units. The sharp end of the compass is placed on a coordinate system 3 units to the left and 1 unit up from a point of origin. Give the equation of the path traced by the pencil end of the compass. a. (x.

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11. A drawing compass opened to a width of 2

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Solve each problem. 13. Find x, if f(x) = 4x and

Solve each problem. 13. Find x, if f(x) = 4x and f(x) = 1/2. 14. A student has found a great investment deal. She has found a way to receive an annual interest rate of 8% compounded semiannually. If she has $600 to invest now and wants to end up with $1000.

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Solve each problem. 13. Find x, if f(x) = 4x and

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Let f(x) = (1/2)x, g(x) = 31-x, and h(x) =

Let f(x) = (1/2)x, g(x) = 31-x, and h(x) = 4x-2. Evaluate each of the following. 13. f(-2) 14. g(1) 15. h(0) Solve each problem. 16. Rewrite the following as a sum or difference of multiples of logarithms: 17. Find the x-intercept for the graph of y = e(x - 1) + 3. 18. A radioactive substance.

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Let f(x) = (1/2)x, g(x) = 31-x, and h(x) =

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1. Change 5x = 6 to logarithmic form. 2. Change log(1)

1. Change 5x = 6 to logarithmic form. 2. Change log(1) = 0 to exponential form. Simplify each expression. 3. log4(2) 4. e2ln(2) 5. 1/2 log3(1/81) Find the exact solution to each equation. 6. 100x-1 = 10002x-1 7. log(x) + log(2x - 1) = log(3) 8. log6(x) = 1 + log6(x - 1) Find an approximate solution (to 4 decimal.

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1. Change 5x = 6 to logarithmic form. 2. Change log(1)

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1. cos (930°) 2.tan(5???? ??sin(-?) 4.csc(-?/4) 5.cot(7?/6)

1. cos (930°) 2.tan(5???? ??sin(-?) 4.csc(-?/4) 5.cot(7?/6) .

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1. cos (930°) 2.tan(5???? ??sin(-?) 4.csc(-?/4) 5.cot(7?/6)

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6.sec(-7?/4 7. arccos(√2/2) 8.cos-1 (-1) 9.sec(arccos(2/5))

6.sec(-7?/4 7. arccos(√2/2) 8.cos-1 (-1) 9.sec(arccos(2/5)) .

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6.sec(-7?/4 7. arccos(√2/2) 8.cos-1 (-1) 9.sec(arccos(2/5))

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1. Give the equation of the directrix for the parabola

1. Give the equation of the directrix for the parabola x = 1/8 (y ? 2)2 ? 3. a. x = ?1 b. x = ?3 c. x = ?5 d. x = ? 5/2 2. Give the equation of the parabola with vertex (2, 1) and directrix x = 5. a. x=?1/12 (y?1)2 + 2 b..

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1. Give the equation of the directrix for the parabola

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Sketch at least one cycle of the graph of each

Sketch at least one cycle of the graph of each function. Draw and label the axes appropriately. Determine the period and range for each function. 10.y=sin(x-?/3) period: ___ range: _ 11. y=2 sec(x)+1 period: _ range: ___ .

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Sketch at least one cycle of the graph of each

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Simplify each expression. 1. log(100) 2.eln(2) 3. log 3(1/81) Rewrite each expression

Simplify each expression. 1. log(100) 2.eln(2) 3. log 3(1/81) Rewrite each expression as a single logarithm. 4. log 3(x) log3(y) + log3 (z- 1) 5. 1/2 log(49) 3 log(y) Find the exact solution to each equation. 6. 2 log2 (x) - log2(2) = log2(x + 4) 7. 43x = 83x+1 Find an approximate solution (to 4 decimal places).

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Simplify each expression. 1. log(100) 2.eln(2) 3. log 3(1/81) Rewrite each expression

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Sketch the graph of each equation. 1. y2 = ? (x

Sketch the graph of each equation. 1. y2 = ? (x + 1)2 + 4. 2. (x ? 1)2 + 4(y+2)2 = 16 .

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Sketch the graph of each equation. 1. y2 = ? (x

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____ 11. Solve for x, rounding to four decimal places:

11. Solve for x, rounding to four decimal places: log x (22.2) = 3. a. 0.1351 b. 10,941.0480 c. 2.8218 d. 2.8105 12. Which of the following statements are true? a. D and E only b. B and C only c. A and E only d. B and D only 13..

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____ 11. Solve for x, rounding to four decimal places:

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6.sec(-5?/3 7. arccos(-1/2) 8.cos-1 (0) 9.csc(arctan(3/4))

6.sec(-5?/3 7. arccos(-1/2) 8.cos-1 (0) 9.csc(arctan(3/4)) .

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6.sec(-5?/3 7. arccos(-1/2) 8.cos-1 (0) 9.csc(arctan(3/4))

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Study Resources (Mathematics)

Sketch the graph of each. 14. Polar: r = 2/1 ?

Sketch the graph of each. 14. Polar: r = 2/1 ? cos ?. 15. Parametric: x=t ? 1, y=2t, for t in [?2, 3]. .

Sketch the graph of each. 14. Polar: r = 2/1 ?

Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2.

Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2. y = x2 ? 2x ? 3 .

Sketch the graph of each equation. 1. x2/9 ? y2= 1. 2.

Sketch the graph of each equation. 1. y2/9 ? x2 /4=

Sketch the graph of each equation. 1. y2/9 ? x2 /4= 1. 2. x = y2 ? 4y + 4 .

Sketch the graph of each equation. 1. y2/9 ? x2 /4=

12. y=1/2 csc(x)- ?/3 period: _______ range: _______ 13. If 3950 miles the

12. y=1/2 csc(x)- ?/3 period: _______ range: _______ 13. If 3950 miles is the approximate radius of Earth, find the distance along the surface of Earth from the equator to the North Pole. Round to to the nearest mile. 14. Find the exact value of cos ? for an angle ? in standard position whose.

12. y=1/2 csc(x)- ?/3 period: _______ range: _______ 13. If 3950 miles the

16. A car crosses an intersection traveling at 52 mph.

16. A car crosses an intersection traveling at 52 mph. At exactly the same time, a truck is on the intersecting road two miles from the point of intersection, traveling at 60 mph away from the intersection. The angle between the roads on which the vehicles are traveling is 55°. If the car.

16. A car crosses an intersection traveling at 52 mph.

11. cos(19?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?/2)= a.-1 b.1 c.0 d. undefined

11. cos(19?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?/2)= a.-1 b.1 c.0 d. undefined

3. (x?1)2 + y2 = 16 4. (x + 2)2

3. (x?1)2 + y2 = 16 4. (x + 2)2 + 4y2 = 16 .

3. (x?1)2 + y2 = 16 4. (x + 2)2

3. x2/16 ? y2/4 = 1 4. (x + 2)2

3. x2/16 ? y2/4 = 1 4. (x + 2)2 + (y ? 3)2 = 1 .

3. x2/16 ? y2/4 = 1 4. (x + 2)2

3. y2/4 ? x2/9 = 1 4. (x + 2)2

3. y2/4 ? x2/9 = 1 4. (x + 2)2 + (y + 3)2 = 4 .

3. y2/4 ? x2/9 = 1 4. (x + 2)2

1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3)

1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3) .

1. cos (-600°) 2.tan(-3???? ??sin(3?/2) 4.csc(-?/6) 5.cot(4?/3)

Sketch the graph of each equation. 1. y2 ? 4y +

Sketch the graph of each equation. 1. y2 ? 4y + 1 ? x = 0 2. (x + 1)2 + 4y2 = 4 .

Sketch the graph of each equation. 1. y2 ? 4y +

Graph each equation in the xy-plane. 11. f(x) = ex +

Graph each equation in the xy-plane. 11. f(x) = ex + 2 12. g(x) = log2(x - 2) Solve each problem. 13. Find x, if f(x) = 2x and f(x) = 1/4. 14. A student has found a great investment deal. She has found a way to receive an annual interest rate of 12% compounded.

Graph each equation in the xy-plane. 11. f(x) = ex +

Sketch the graph of each. 14. Polar: r = 3/1 ?

Sketch the graph of each. 14. Polar: r = 3/1 ? sin ?. 15. Parametric: x= 3 ? t, y=t + 2, for t in [?2, 3]. .

Sketch the graph of each. 14. Polar: r = 3/1 ?

11. A drawing compass opened to a width of 2

11. A drawing compass is opened to a width of 2 units. The sharp end of the compass is placed on a coordinate system 3 units to the left and 1 unit up from a point of origin. Give the equation of the path traced by the pencil end of the compass. a. (x.

11. A drawing compass opened to a width of 2

Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with diameter whose endpoints are (1, 5) and ( 3, 4). 6. A parabola with vertex (2, 3) and directrix x = 0. 7. An ellipse with foci (0, ?6) and y-intercepts (? 2 , 0). 8. A hyperbola with vertices of the fundamental.

Determine the equation of each conic section. 5. A circle with

1. Give the equation of the directrix for the parabola

1. Give the equation of the directrix for the parabola x = 1/8 (y ? 2)2 + 3. a. x = 1 b. x = ?3 c. x = ?5 d. x = ? 1 2. Give the equation of the parabola with vertex (2, 1) and directrix x = 5. a. x= ? 1/12 (y?1)2.

1. Give the equation of the directrix for the parabola

Determine the equation of each conic section. 5. A circle with

Determine the equation of each conic section. 5. A circle with center (2, ?1) and radius 4. 6. A parabola with focus (2, 1) and directrix y= ? 1. 7. An ellipse with foci (? 1, 0) and x-intercepts (? 3, 0). 8. A hyperbola with foci (0, ?4) and vertices ( ? 3,.

Determine the equation of each conic section. 5. A circle with

Graph each equation in the xy-plane. 11. f(x) = 2-x +

Graph each equation in the xy-plane. 11. f(x) = 2-x + 1 12. g(x) = ln(x + 1) .

Graph each equation in the xy-plane. 11. f(x) = 2-x +

1. Change 3x = 4 to logarithmic form. 2. Change ln(1)

1. Change 3x = 4 to logarithmic form. 2. Change ln(1) = 0 to exponential form. Simplify each expression. 3. log 5(25) 4. 7log7(x) 5. 1/3 log 2(1/8) Find the exact solution to each equation. 6. 8x-1 = 16x+3 7. log(x) - log(3) = log(x + 2) 8. log2(5 - x) = 2 - log2(x) Find an approximate.

1. Change 3x = 4 to logarithmic form. 2. Change ln(1)

____ 11. Solve for x, rounding to four decimal places:

____ 11. Solve for x, rounding to four decimal places: log x (22.2) = 3. a. 2.8218 b. 10941.0480 c. 2.8105 d. 0.1351 ____ 12. Which of the following statements are true? a. D and E only b. B and C only c. A and E only d. B and D only ____ 13..

____ 11. Solve for x, rounding to four decimal places:

16. The bearing of an airplane 315° with an air

16. The bearing of an airplane is 315° with an air speed of 500 mph. If the wind is blowing at a bearing of 30° at 20 mph, find the ground speed and the bearing of the course. 17. Solve each triangle that exists with the given parts. If there is more.

16. The bearing of an airplane 315° with an air

11. cos(17?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?)= a.-1 b.1 c.0 d. undefined

11. cos(17?/2)= a. -1 b. 1 c. 0 d. √3/2 12 tan (3?)= a.-1 b.1 c.0 d. undefined

Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write

Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write each expression as a single logarithm. 4. log2(3x) + log2(x) - log2(y) 5. 1/3 log3(8) - 2 log 3(x) Find the exact solution to each equation. 6. 25x+1 = 1252x-2 7. 3 log(x) = log(x) 8. log 3(x - 2) = 1 - log3(x) Find an approximate.

Simplify each expression. 1. log2 (8) 2. log (1/10) 3. eln(5) Write

12. y=tan(1/2x) period: _______ range: _______ 13. If 3950 miles the approximate radius

12. y=tan(1/2x) period: _______ range: _______ 13. If 3950 miles the approximate radius

1. Two-thirds of a counter clock wise revolution is: a.-120 b. 2/3? c.

1. Two-thirds of a counter clock wise revolution is: a.-120 b. 2/3? c.

Sketch the graph of each. 14. Polar: r = 9/4 ?

Sketch the graph of each. 14. Polar: r = 9/4 ? 3cos ?. 15. Parametric: x= 2t ? 1, y=t + 2, for t in [?2, 3]. .

Sketch the graph of each. 14. Polar: r = 9/4 ?

Let f(x) = 2x, g(x) = (1/3)1-x, and h(x) =

Let f(x) = 2x, g(x) = (1/3)1-x, and h(x) =

16. A car crosses an intersection traveling at 52 mph.

16. A car crosses an intersection traveling at 52 mph. At exactly the same time, a truck is on the intersecting road two miles from the point of intersection, traveling at 60 mph away from the intersection. The angle between the roads on which the vehicles are traveling is 50°. If the car.

16. A car crosses an intersection traveling at 52 mph.

12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles the

12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles is the approximate radius of Earth, find the distance along the surface of Earth from the equator to the North Pole. Round to to the nearest mile. 14. Find the exact value of cos ? for an angle ? in standard position whose.

12. y=1/2 csc(x)- ?/3 period: _ range: _ 13. If 3950 miles the

11. Solve for x, rounding to four decimal places: log x (22.2) = 3. a. 2.8218 b. 10941.0480 c. 2.8105 d. 0.1351 12. Which of the following statements are true? a. D and E only b. B and C only c. A and E only d. B and D only 13..

12. y=tan(1/2x) period: _ range: _ 13. If 3950 miles the approximate radius

12. y=tan(1/2x) period: _ range: _ 13. If 3950 miles the approximate radius

12. y=tan(x-?/4) period: _ range: _ 13. Find the exact value of the

12. y=tan(x-?/4) period: _ range: _ 13. Find the exact value of the

1. If g(x) = 4x, then g(x) = 1/2 when x equals what value? a. 1/8 b. -2 c. -1/2 d. 1/2 2. The range of the function y = 1 - 2x is given by: a. (-∞, 1) b. (1, ∞) c. (-∞, -1) d.(- ∞, ∞) 3. A student wishes to invest.

Sketch at least one cycle of the graph of each function. Draw and label the axes appropriately. Determine the period and range for each function. 10.y=cos(?x) period: ___ range: _ 11. y=tan(x-?/6) period: _ range: ___ .

1. If g(x) = 16x, then g(x) = 1/4 when x equals what value? a. 1/2 b. -2 c. 1/64 d. -1/2 2. The range of the function y = 2 - 3x is given by: a. (-∞, -3) b. (2, ∞) c. (-∞, –2) d. (-∞, 2) 3. A student wishes to invest.

Sketch at least one cycle of the graph of each function. Draw and label the axes appropriately. Determine the period and range for each function. 10.y=sin(x-?/3) period: ___ range: _ 11. y=2 sec(x)+1 period: _ range: ___ .

11. Solve for x, rounding to four decimal places: log x (22.2) = 3. a. 0.1351 b. 10,941.0480 c. 2.8218 d. 2.8105 12. Which of the following statements are true? a. D and E only b. B and C only c. A and E only d. B and D only 13..