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Essential Calculus 2nd Edition by James Stewart Test Bank Visit: https://www.efilespro.com/ OR Use search tool to find your Test bank Product Description WHAT CAN YOU EXPECT FROM A TEST BANK The study major and field is going to dictate what it is you see inside the test bank. However, in the basic scheme of things, a test bank will include the following questions: 1. 2. 3. 4. 5. 6. Multiple choice True/false Fill in the blank Matching Short questions Essay question Description Stewart_Essential Calc_2ET ch05sec01 MULTIPLE CHOICE 1. Determine a region whose area is equal to . a. b. c. d. e. ANS: E MSC: Bimodal PTS: 1 NOT: Section 5.1 DIF: Medium REF: 5.1.17 NUMERIC RESPONSE 1. By reading values from the given graph of , use five rectangles to find a lower estimate, to the nearest whole number, for the area from 0 to 10 under the given graph of . ANS: 21 PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.1.1a NOT: Section 5.1 2. The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find a lower estimate for the distance that she traveled during these three seconds. 2.8 3.5 6.9 8.2 12.2 16.3 ANS: 16.8 PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.1.9 NOT: Section 5.1 3. The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied.Use a left sum with n = 7. ANS: 19 PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.1.13 NOT: Section 5.1 4. The velocity graph of a car accelerating from rest to a speed of 7 km/h over a period of 10 seconds is shown. Estimate to the nearest integer the distance traveled during this period. Use a right sum with . ANS: 37 PTS: 1 DIF: Medium REF: 5.1.14 MSC: Numerical Response NOT: Section 5.1 Stewart_Essential Calc_2ET ch05sec02 MULTIPLE CHOICE 1. Evaluate the Riemann sum for with four subintervals, taking the sample points to be right endpoints. a. b. c. d. e. ANS: E MSC: Bimodal PTS: 1 NOT: Section 5.2 DIF: Medium 2. Use the Midpoint Rule with n = 5 to approximate the integral. Round your answer to three decimal places. REF: 5.2.1 a. b. c. d. e. ANS: E MSC: Bimodal PTS: 1 NOT: Section 5.2 DIF: Medium 3. Use the Midpoint Rule with n = 10 to approximate the integral. a. b. c. d. REF: 5.2.11 e. ANS: D MSC: Bimodal PTS: 1 NOT: Section 5.2 DIF: Medium REF: 5.2.13 PTS: 1 NOT: Section 5.2 DIF: Medium REF: 5.2.40 4. If and , find . a. b. c. d. e. ANS: E MSC: Bimodal NUMERIC RESPONSE 1. A table of values of an increasing function is shown. Use the table to find an upper estimate of . –45 –37 –27 9 10 23 ANS: –110 PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.2.9 NOT: Section 5.2 2. Express the integral as a limit of sums. Then evaluate the limit. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.2.27 NOT: Section 5.2 3. Evaluate by interpreting it in terms of areas. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.2.31 NOT: Section 5.2 4. Evaluate by interpreting it in terms of areas. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.2.33 NOT: Section 5.2 5. Evaluate by interpreting it in terms of areas. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.2.34 NOT: Section 5.2 6. Given that , find . ANS: PTS: 1 DIF: Medium MSC: Numerical Response Stewart_Essential Calc_2ET ch05sec03 MULTIPLE CHOICE 1. Evaluate the integral. a. b. c. d. REF: 5.2.38 NOT: Section 5.2 e. ANS: D MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.2 DIF: Medium REF: 5.3.21 2. Evaluate the integral. a. b. c. d. e. ANS: A MSC: Bimodal PTS: 1 NOT: Section 5.3 3. Evaluate the integral. a. b. c. d. e. ANS: C MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.38 4. The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral . Find the area.. a. b. c. d. e. ANS: C MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.49 5. The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval. a. 68 m b. 100 m c. 64 m d. 36 m e. 72 m ANS: A MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.59b 6. The acceleration function (in m/) and the initial velocity are given for a particle moving along a line. Find the velocity at time t and the distance traveled during the given time interval. a. b. c. d. e. ANS: C MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.61 7. The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. 0 0 60 10 70 20 80 30 90 40 100 50 a. 1.8 miles b. 0.6 miles c. 0.8 miles d. 1.2 miles e. 2.4 miles ANS: D MSC: Bimodal PTS: 1 NOT: Section 5.3 DIF: Medium REF: 5.3.63 Stewart_Essential Calc_2ET ch05sec04 MULTIPLE CHOICE 1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a. b. c. d. e. ANS: A MSC: Bimodal none of these PTS: 1 NOT: Section 5.4 DIF: Medium REF: 5.4.5 2. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a. b. c. d. e. ANS: B MSC: Bimodal PTS: 1 NOT: Section 5.4 DIF: Easy 3. Find the average value of the function on the given interval. REF: 5.4.7 a. b. c. d. e. ANS: A MSC: Bimodal PTS: 1 NOT: Section 5.4 DIF: Medium NUMERIC RESPONSE 1. Find the derivative of the function. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.4.6 NOT: Section 5.4 2. Find a function such that for x > 0 and some number a. ANS: ; for PTS: 1 DIF: Medium MSC: Numerical Response Stewart_Essential Calc_2ET ch05sec05 MULTIPLE CHOICE REF: 5.3.63 NOT: Section 5.3 REF: 5.4.15 1. Evaluate the integral by making the given substitution. a. b. c. d. e. ANS: D MSC: Bimodal PTS: 1 NOT: Section 5.5 2. Evaluate the indefinite integral. a. b. c. DIF: Medium REF: 5.5.4 d. e. ANS: B MSC: Bimodal PTS: 1 NOT: Section 5.5 DIF: Medium REF: 5.5.20 DIF: Medium REF: 5.5.47 3. Evaluate the indefinite integral. a. b. c. d. e. ANS: A MSC: Bimodal PTS: 1 NOT: Section 5.5 4. Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is calculators per week. Production approaches 5,700 per week as time goes on, but the initial production is lower because of the workers’ unfamiliarity with the new techniques. Find the number of calculators produced from the beginning of the third week to the end of the fourth week. Round the answer to the nearest integer. a. b. c. d. e. f. ANS: F MSC: Bimodal PTS: 1 NOT: Section 5.5 DIF: Medium NUMERIC RESPONSE 1. Evaluate the indefinite integral. ANS: PTS: 1 DIF: Medium MSC: Numerical Response 2. Evaluate the definite integral. REF: 5.5.33 NOT: Section 5.5 REF: 5.5.64 ANS: 0 PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.5.46 NOT: Section 5.5 3. Evaluate the definite integral. ANS: PTS: 1 DIF: Medium MSC: Numerical Response REF: 5.5.51 NOT: Section 5.5