Test Bank for Calculus 11th Edition

1. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the distance traveled in 13 seconds by an object traveling at a constant velocity of 15 feet per second. a. calculus, 195 ft b. calculus, 215 ft c. precalculus, 195 ft d. calculus, 390 ft e. precalculus, 390 ft ANSWER: c POINTS: 1 DIFFICULTY: Easy REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: LCalc11.1.1.2 - Understand that the tangent line problem is basic to calculus. OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 2. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the distance traveled in 19 seconds by an object moving with a velocity of feet per second. Round your answer to four decimal places. a. calculus, 215.9209 ft b. precalculus, 217.2709 ft c. calculus, 210.0491 ft d. precalculus, 210.0491 ft e. precalculus, 215.9209 ft ANSWER: c POINTS: 1 DIFFICULTY: Medium REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC052 - Recognize problems requiring calculus and estimate solutions OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 3. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach Page 3 to estimate the solution. A cyclist is riding on a path whose elevation is modeled by the function where x and are measured in miles. Find the rate of change of elevation when . a. precalculus, 0.09 b. calculus, 0.21 c. calculus, 0.81 d. calculus, 0.09 e. precalculus, 0.21 ANSWER: c POINTS: 1 DIFFICULTY: Medium REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC052 - Recognize problems requiring calculus and estimate solutions OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 4. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. A cyclist is riding on a path whose elevation is modeled by the function where x and are measured in miles. Find the rate of change of elevation when . Round your answer to two decimal places, if necessary. Page 4 a. calculus, 0.98 b. precalculus, 0.14 c. calculus, 0.14 d. precalculus, 0.98 e. precalculus, 0.39 ANSWER: b POINTS: 1 DIFFICULTY: Easy REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: LCalc11.1.1.2 - Understand that the tangent line problem is basic to calculus. OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 5. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the area of the shaded region bounded by the triangle with vertices , , . Page 5 a. precalculus, 28 b. calculus, 42 c. precalculus, 14 d. precalculus, 42 e. calculus, 28 ANSWER: c POINTS: 1 DIFFICULTY: Easy REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: LCalc11.1.1.2 - Understand that the tangent line problem is basic to calculus. OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 6. Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the area of the shaded region. Round your answer to the whole number. Page 6 a. calculus , 11 b. precalculus , 11 c. precalculus , 13 d. calculus , 16 e. precalculus , 16 ANSWER: a POINTS: 1 DIFFICULTY: Medium REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC053 - Recognize problems requiring calculus and estimate solution OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 7. Consider the function and the point on the graph of f. Graph f and the secant line passing through and for . a. b. Page 7 c. d. e. ANSWER: d POINTS: 1 DIFFICULTY: Easy REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: LCalc11.1.1.0 - A Preview of Calculus OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 8. Consider the function and the point on the graph of f. Find the slope of the secant line passing through and for . Round your answer to four decimal places. a. Page 8 b. c. d. e. ANSWER: a POINTS: 1 DIFFICULTY: Easy REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC055 - Calculate the slope of a secant line passing through given points OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 9. Consider the function and the point on the graph of f. Consider the secant lines passing through and for x values of 97, 99, and 101. Find the slope of each secant line to four decimal places. Round your answers to four decimal places, if necessary. (Think about how you could use your results to estimate the slope of the tangent line of f at , and how to improve your approximation of the slope.) a. 0.0504 , 0.0501 , 0.025 b. 0.0504 , –0.0501 , 0.0499 c. 0.0252 , 0.0251 , 0.025 d. 0.0504 , 0.0501 , 0.0499 e. –0.0252 , –0.0251 , –0.025 ANSWER: d POINTS: 1 DIFFICULTY: Medium REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC056 - Calculate the slopes of secant lines OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM 10. Consider the function and the point on the graph of f. Estimate the slope m of the tangent line of f at . Round your answer to four decimal places. a. b. c. d. Page 9 e. ANSWER: a POINTS: 1 DIFFICULTY: Medium REFERENCES: Section 1.1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: CALC057 - Estimate the slope of a tangent line OTHER: Skill DATE CREATED: 1/11/2017 9:56 AM DATE MODIFIED: 1/11/2017 9:56 AM