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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the curve of the given polar equation in polar coordinates. 1) r = 4sinθ A) B) C) D) 2) r = 1 A) B) C) D) 3) r = 6cosθ A) B) C) D) 4) rsinθ = 1 A) B) C) D) 5) r = 3sin2θ A) B) C) D) 6) r = 1 + sinθ A) B) C) D) 7) r = 2 - 2cosθ A) B) C) D) 8).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operation and simplify. 1) (2/15x) + (6/15x) A) 1 B) (8/30x) C) (15x/8) D) (8/15x) 2) (1/3x) + (5/6x) A) 1 B) (6/7x) C) (7/12x) D) (7/6x) 3) (2/21x) + (4/15x2) A) (48/105x2) B) (6/21x + 15x2) C) (6/315x2) D) (2(5x + 14)/105x2) 4) (3/14x) - (9/10x2) A).
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Construct a control chart for overbar x. 1) A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 24) (PV/T) = (pv/t) for P A) (tvT/pV) B) (pvV/tT) C) (pv/tTV) D) (pvT/tV) 25) I = (E/R + r) for r A) r = (E - IR/I) B) r = (E - R/I) C) r = (E/I) - IR D) r.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the principle of square roots to solve the equation. 1) y2 = 15 A) √(15) B) ±√(15) C) 7.5 D) 225 2) x2 = 16 A) 8 B) ±4 C) 4 D) ±5 3) x2 + 5 = 149 A) 74.5 B) ±12 C) ±11 D) 12 4) 3z2 +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the coordinates of the vertices and the foci of the hyperbola. 1) x2/36 – y2/64 = 1 A) V(-8, 0), V(8, 0), F(-10, 0), F(10, 0) B) V(0, -6), V(0, 6), F(0, -8), F(0, 8) C) V(0, -8), V(0,.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a graphing calculator to graph the given function. Be sure to set the graphic window parameters to the given values. 1) y = 0.7(2.09)x window dimensions [xmin, xmax, ymin, ymax] = [-5, 5, -1, 9] x-scale (xscl) =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the standard deviation. Round to one more place than the data. 1) 17, 12, 10, 13, 5, 17, 7, 6, 9 A) 4.2 B) 1.3 C) 4.8 D) 4.4 2) 64, 71, 56, 71, 51, 41, 52, 22, 72 A) 17.7 B) 15.6 C).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the polar equation of the given rectangular equation. 1) y = -x A) r = cosθ B) r = sinθ C) sinθ = -cosθ D) sinθ = cosθ 2) x2 - y2 = 4 A) r2 = 4csc2θ B) r = 4csc2θ C) r.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Transform the equation by rotating the axes through the given angle. Identify the curve. 1) x2 - y2 + 4 = 0, θ = 45° A) x'y' = 4; hyperbola B) x'y' = 4; ellipse C) x'y' = 2; hyperbola D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Integrate the function. 1) A) -2ln|5 + 7x| + C B) (4/7)ln|5 + 7x| + C C) ln|5 + 7x| + C D) (2/7)ln|5 + 7x| + C 2) A) (2/5)√(1 - 5x) + C B) (1/5)√(1 - 5x2) + C C) -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the center (or vertex if the curve is a parabola) of the given curve. 1) x2 + 8x - 4y + 8 = 0 A) (2, 4) B) (4, 2) C) (-2, -4) D) (-4, -2) 2) y2 + 4x =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Pivot the matrix matrix about the element 6. A) B) C) D) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 2) Pivot the matrix matrix about the element 3. 3).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 1) y = x2 - 8 x - 2 A) (4, -21) B) (-4, -21) C) (4, -18) D) (-4, -18) 2) y = - x2 - 2x + 5 A) (-1, -4) B) (1, 6) C) (-1, -6) D).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following calculations can be performed? I. [4 0 2] + II. [6] + III. [5] IV. A) IV only B) I and II only C) III only D) III and IV only E) all of these 2).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Indicate whether the variable is qualitative or quantitative. 1) The colors of book covers on a bookshelf A) qualitative B) quantitative 2) The number of calls received at a company's help desk A) qualitative B) quantitative 3) The weights of suitcases loaded onto.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Find the y-intercept of the line passing through the point (14, 12) and having slope (2/7). A) (0, -4) B) (0, (24/7)) C) (0, 12) D) (0, 8) E) none of these 2) Find the value of a such that the.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Is x = 2, y = -1, z = 4 a solution of the system of equations shown below? Explain your answer. x - y + z = 7 2x - z = 0 2y + 3z.
Find all the roots of the complex number. Put answers in standard form. 20) Cube roots of 8 A) 2, 1 + √(3)j, 1 - √(3)j B) 2, -1 - √(3)j, 1 - √(3)j C) 2, 1 + √(3)j, -1 - √(3)j D) 2, -1 + √(3)j, -1 - √(3)j 21) Cube roots of -8 A) -2,.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the coordinates of the vertices and foci of the ellipse. 1) x2/625 + y2/225 = 1 A) V(0, -25), V(0, 25), F(0, -15), F(0, 15) B) V(-25, 0), V(25, 0), F(-20, 0), F(20, 0) C) V(0, -25), V(0, 25),.
Solve. 20) A certain radioactive isotope has a half-life of approximately 1450 years. How many years to the nearest year would be required for a given amount of this isotope to decay to 40% of that amount? A) 1877 years B) 1069 years C) 870 years D) 1917 years 21) An artifact is discovered at a.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations. Write the answer in the form a + bj. 1) (6 - 5j) + (8 + 8j) A) 14 - 3j B) 14 + 3j C) -2 + 13j D) -14 - 3j 2) 9j + (-3 -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the integral. 1) ∫((sin5x cosx dx)) A) (sin6x/5) + C B) (sin5x/6) + C C) (sin6x/6) + C D) (sin5x/5) + C 2) dx A) -cscx + C B) -secx + C C) secx + C D) cscx + C 3) ∫((sec2x tanx dx)) A) sec2x +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation using the slope, m, and y-intercept. 1) y = 3x - 3 A) B) C) D) 2) y = -4x + 5 A) B) C) D) 3) y = 3 A) B) C) D) 4) Find the.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Describe the curve represented by the equation. Identify the type of curve and its center (or vertex if it is a parabola). 1) (y + 4)2 = 12(x - 5) A) Parabola, (-5, 4) B) Hyperbola, (4, -5) C) Ellipse,.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Integrate the function. 1) dx A) e12 - e3 B) (1/3)(e12 - e3) C) (1/3)(e3 - e12) D) 3(e12 - e3) 2) ∫(4e8x dx) A) (1/4)e8x^2 + C B) 4e8x + C C) (1/2)e8x + C D) (4/9)e8x+1 + C 3) dx A) (1/4)e(8sin4x) + C B) 8ln(sec4x) + C C).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the given polar coordinate point in the polar coordinate system. 1) (4, (π/2)) A) B) C) D) 2) (1, (π/3)) A) B) C) D) 3) ((9/2), - (3π/7)) A) B) C) D) 4) (2, - (π/6)) A) B) C) D) 5) (-1, (5π/6)) A) B) C) D) 6) (3, (3π/4)) A) B) C) D) 7) (-5, - (4π/3)) A) B) C) D) 8) (-4, -4) A) B) C) D) 9) (3.5, -11.9) A) B) C) D) 10) (5.6, 16.9) A) B) C) D) Find a set.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the logarithm in base 10 of the given number to four decimal places. 1) 3.613 A) 0.5579 B) 0.0579 C) 1.2845 D) 1.7845 2) 4275 A) 8.3605 B) 3.1309 C) 3.6309 D) 8.8605 3) 54 A) 1.7324 B) 1.2324 C) 3.9890 D) 4.4890 4) 0.42 A) -0.3675 B) -0.8768 C) -0.8675 D) -0.3768 5) 1.75 ×.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multiply and simplify. 1) (4z3/5).(10/z2) A) 8z B) (z/ 8) C) (8 /z) D) (8z2/z3) 2) (2p - 2/p).(4p2/5p - 5) A) (8p3 - 8p2/ 5p2 - 5p) B) (10p2 + 20p + 10/4p3) C) (8p/5) D) (5/8p) 3) (k2 + 15k + 54/k2 + 18k.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the vertex of the parabola. 21) y = -x2 + 4 A) B) C) D) 22) y = 5x2 + 10x + 1 A) B) C) D) 23) y = x2 + 2x - 5 A) B) C) D).
Express the given complex number in polar form. 20) 3.69e3.98j A) ((3.69)cis(211.4°)) B) ((3.98)cis(211.4°)) C) ((3.69)cis(228.0°)) D) ((3.98)cis(228.0°)) 21) 3.62e0.008j A) ((0.008)cis(0.5°)) B) ((3.62)cis(207.4°)) C) ((0.008)cis(207.4°)) D) ((3.62)cis(0.5°)) 22) 0.600e4.00j A) ((0.600)cis(34.4°)) B) ((4.00)cis(229.2°)) C) ((4.00)cis(34.4°)) D) ((0.600)cis(229.2°)) 23) 3.042e3.859j A) ((3.859)cis(221.10°)) B) ((3.859)cis(174.29°)) C) ((3.042)cis(221.10°)) D) ((3.042)cis(174.29°)) 24) 4.00e3.00j A) 4.00 (cos229.2° + jsin229.2°) B) 3.00 (cos229.2° + jsin229.2°) C) 4.00 (cos171.9° + jsin171.9°) D) 3.00 (cos171.9° + jsin171.9°) 25) 5.79e2.85j A) 5.79 (cos163.3° + jsin163.3°) B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the values of x for which the function is continuous. If the function is not continuous, determine the reason. 1) f(x) = -6x - 4 A) Continuous for all x B) Not continuous at x = -0.6666667; small.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Integrate the function. 1) ∫(3cos3x sin5x dx) A) (3/4)cos4x - (1/2)cos6x + C B) (1/2)sin6x - (3/8)sin8x + C C) (3/4)sin4x - (3/8)cos8x + C D) (1/2)(sin6x - sin8x)+ C 2) ∫(2sin3x cos7x dx) A) - (1/4)sin8x - (1/5)sin10x + C B) (1/4)sin8x -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether or not the equation is quadratic. 26) 8k2 - 15k - 2 = 0 A) - (1/8), 8 B) - (1/8), 2 C) -8, 2 D) (1/15), - (1/8) 27) 10m2 - 13m = 0 A) 0 B) (13/10), 0 C) -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) 5m2 + 12m + 3 = 0 A) (-6 ± √(21)/5) B) (-12 ± √(21)/5) C) (-6 ± √(21)/10) D) (-6 ± √(51)/5) 2) 2n2 = -10n - 5 A) (-10 ± √(15)/2) B) (-5 ± √(15)/2) C) (-5 ± √(15)/4) D) (-5 ±.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write as a sum or difference of logarithms. Your results should not contain any exponents or radicals. 1) log86x A) log86 - log8x B) log86 + log8x C) log46 + log4x D) log46 - log4x 2) log10xy A) log5x + log5y B) log10x -.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the complex number in polar form. 1) -2 A) 2(cos90° + jsin90°) B) 2(cos270° + jsin270°) C) 2(cos180° + jsin180°) D) 2(cos0° + jsin0°) 2) 3j A) 3(cos180° + jsin180°) B) 3(cos0° + jsin0°) C) 3(cos270° + jsin270°) D) 3(cos90° + jsin90°) 3) 9 + 12j A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Find the point of intersection of the two lines x + 3y = 1 and x - 3y = 5. A) ((1/2), (1/2)) B) (3, (1/2)) C) ((2 /3), 3) D) (3, - (2/3)) E) none of these 2) Find the.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (7/x) - (6/x) = 6 A) (1/6) B) (6/13) C) 6 D) (1/13) 2) (6/x) + (6/x) = 12 A) 2 B) 12 C) (1/2) D) 1 3) (x/2) - (x/5) = 7 A) 35 B) 10 C) (70/3) D) 14 4) (4/x) + (8/9) = 1 A) 9 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the equation of the least-squares regression line. Graph the line and data points on the same graph. 1) A) y = 3.0x B) y = 2.8x C) y = 0.15 + 3.0x D) y = 0.15 + 2.8x 2) A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the complex number. 1) -2 + 6j A) B) C) D) 2) 2j A) B) C) D) 3) 1 + j A) B) C) D) 4) 6 - j A) B) C) D) Perform the indicated operations graphically. 5) 4 +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a calculator to evaluate (to three significant digits) the given number. 1) 4-√(3) A) 2.31 B) -6.93 C) 0.0906 D) -11.0 2) (2.4π)e A) 20.5 B) 53.9 C) 243 D) 362 Determine whether the function is an exponential function. 3) -5x A) Yes B) No 4) 7-x A) No B) Yes 5) (-4)x A).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Express the number in exponential form. 1) 2.49(cos28.2° + jsin28.2°) A) 2.49e0.492j B) 28.2e2.49j C) 0.492e2.49j D) 2.49e28.2j 2) 4.46(cos117.4° + jsin117.4°) A) 117.4e4.46j B) 4.46e2.05j C) 4.46e117.4j D) 2.05e4.46j 3) 289.89(cos249.11° + jsin249.11°) A) 249.11e289.89j B) 4.348e289.89j C) 289.89e249.11j D) 289.89e4.348j 4) 66.75(cos320.01° + jsin320.01°) A) 320.01e66.75j B) 66.75e320.01j C) 66.75e5.585j D) 5.585e66.75j 5) 4.80(cos-33.3° +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the equation as representing either a circle, a parabola, an ellipse, or a hyperbola. 1) x2 + y2 + x + y = 0 A) Ellipse B) Circle C) Hyperbola D) Parabola 2) 8x2 - 4y2 = 4 A) Ellipse B) Circle C) Hyperbola D) Parabola 3) 5x2 + 5y2 - 12y.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the median. 1) 9, 10, 16, 27, 33, 42, 47 A) 16 B) 33 C) 26 D) 27 2) 15, 18, 36, 55, 68, 69, 89 A) 55 B) 36 C) 68 D) 50 3) 3, 1, 28, 18, 48, 42, 37 A) 25 B) 37 C) 18 D) 28 4).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) 6561x = 9 A) 4 B) 1/4 C) -1/4 D) -4 2) ((1/2))x = 4 A) -2 B) 2 C) 1/2 D) -1/2 3) ((5/2))x = (16/625) A) 1/4 B) -1/4 C) 4 D) -4 4) 3-x = (1/27) A) (1/3) B) 3 C) -3 D) (1/9) 5) 2(12 - 2x) = 16 A) 4 B).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether or not the equation is quadratic. 1) x2 + 4 = 7x A) Not quadratic. B) Quadratic. 2) 9x2 = 3 - x A) Quadratic. B) Not quadratic. 3) x(x - 4) = 9 A) Not quadratic. B) Quadratic. 4) (7x - 6)2 =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert to logarithmic form. 1) 47= 16,384 A) log16,3844 = 7 B) log716,384 = 4 C) log47 = 16,384 D) log416,384 = 7 2) 41/2= 2 A) log24 = 1/2 B) log21/2 = 4 C) log1/24 = 2 D) log42 = 1/2 3) 72= 49 A) log749 =.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the indicated operation and simplify. 23) (1/2r2 - 9rs - 5s2) - (4/5r2 - 26rs + 5s2) + (6/10r2 + 3rs - s2) A) (3r - 35s/(2r + s)(r - 5s)(5r - s) B) (19r - 35s/(2r +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A data set consists of 80 test scores. Over a long period it has been found that the mean and standard deviation for these scores are known and that the scores are normally.
