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5.8 Inverse Trigonometric Functions: Integration Multiple Choice 1. Find the indefinite integral. a. 1/4 arcsin (4x/3) + C b. 1/4 arcsin (9x) + C c. 4 arcsin (9x) + C d. 4 arcsin (4x/3) + C e. 1/4 arcsin (16x) + C 2. Find the indefinite integral. a. b. c. d. e. 3. Find the indefinite integral. a. b. c..
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5.4 The Fundamental Theorem of Calculus Multiple Choice 1. Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results. a. 148.5 b. 12 c. 79.5 d. 159 e. 15 2. Evaluate the definite integral Use a graphing utility to verify your results. a. 40/1,323 b. 160/1,323 c. 20/441 d. 80/441 e. 160/441 3. Evaluate the definite integral of.
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6. Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results. a. -516 b. 516 c. 618 d. 1185 e. -1974 7. Evaluate the definite integral of the trig function. Use a graphing utility to verify your results. a. -7 b. -5 c. -6 d. -8 e. -4 8. Evaluate the definite integral of the function. Use a graphing.
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16. Sketch the graph of the function and locate the absolute extrema of the function on the interval (0, 8) a. left endpoint(0, -25) absolute minimum right endpoint:(5, 25) absolute maximum b. left endpoint: (0, -25) absolute minimum right endpoint: (8, 55) absolute maximum c. left endpoint: (5, 25) absolute minimum right endpoint: (8, 64) absolute.
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16. Evaluate the integral. given, a. -180 b. 16 c. -10169 d. -11522 e. -179 17. Evaluate the integral. given, a. 84 b. 1074 c. 8 d. 1346 e. 295 18. Evaluate the integral. given, a. -65 b. -2377 c. -66 d. -2024 e. -2025 19. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using geometric formulas. a. 4 b. 3 c. 1 d. 2 e..
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6. Use the properties of summation and Theorem 5.2 to evaluate the sum. a. 1156 b. 1190 c. 2108 d. 2244 e. 323 7. Use the properties of summation and Theorem 5.2 to evaluate the sum. a. 9,176 b. 10,471 c. 18,907 d. 9,139 e. 98,346 8. Use the properties of summation and Theorem 5.2 to evaluate the sum. a. 239 b. 7,656 c. 7,612 d..
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5.2 Area Multiple Choice 1. Find the sum given below. a. 42 b. 44 c. 38 d. 50 e. 40 2. Find the sum given below. a. 3 b. 33 c. 25 d. 67 e. 43 3. Find the sum given below. a. 3845/144 b. 769/3600 c. 769/720 d. 553/720 e.769/80 4. Use sigma notation to write the sum a. b. c. d. e. 5. Use the properties of summation.
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4.8 Differentials Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the equation of the tangent line T to the graph of at the given point a. b. c. d. e. 2. Find the equation of the tangent line T to the graph of f(x) =.
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5.3 Riemann Sums and Definite Integrals Multiple Choice 1. Evaluate the following definite integral by the limit definition. a. 49/4 b. – 75/4 c. 45/4 d. - 71/4 e.-15 2. Evaluate the following definite integral by the limit definition. a. 4375 b. 12328/3 c. 4372 d. 1125 e. 4375/3 3. Evaluate the following definite integral by the limit definition. a. -216 b. 240 c. -240 d. 192 e. 216 4..
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5.5 Integration by Substitution Multiple Choice 1. Find the indefinite integral a. b. c. d. e. 2. Find the indefinite integral a. b. c. d. e. 3. Find the indefinite integral a. b. c. d. e. 4. Find the indefinite integral of the following function and check the result by differentiation. a. b..
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4.7 Optimization Problems Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find two positive numbers whose product is 181 and whose sum is a minimum. a. b. c.0, 181 d.1, 181 e. 2. Find two positive numbers such that the sum of the first and twice the second is.
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4.2 Rolle's Theorem and the Mean Value Theorem Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine whether Rolle's Theorem can be applied to f(x) = -x2 + 10x on the closed interval (0, 10). If Rolle's Theorem can be applied, find all values of c.
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6. Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 8 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. a. The Trapezoidal rule gives 1.4010 and Simpson's rule gives 1.4022. b. The Trapezoidal.
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6.3 Differential Equations: Separation of Variables Multiple Choice 1. Find the general solution of the differential equation a. b. c. d. e. ____ 2. Find the particular solution of the differential equation dr/ds = ey - 7s that satisfies the initial condition r(0) = 0. a. b. c. d. e. 3. Find an.
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5.6 Numerical Integration Multiple Choice 1. Use the Trapezoid Rule to approximate the value of the definite integral wth n = 4. Round your answer to four decimal places. a. 7.0625 b. 5.7813 c. 7.0313 d. 6.5625 e. 28.2500 2. Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 8.
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