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c. Find the area of the shaded region constructed in part b by using a common geometric area formula. d. Find the area of the shaded region constructed in part b by evaluating the definite integral from part a. (Hint: Areas from parts c and d should match) 2. Let's assume now that the acceleration of the car is not a constant positive value, but one that is constantly increasing as well. After all, you don't want to floor the gas pedal from rest, but gradually want to push it down to the floorboard as the car is moving 11 over time. Therefore, the velocity function to consider now is v(t) = =t², which 8. satisfies both the car starting at rest (0,0) and moving at 88 ft/sec after 8 seconds (8,88). a. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? b. Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes appropriately. Since a common geometric area formula will not be useful here as there exists a nonlinear side, use left Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2° d. Use right Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2- e. Find the exact area of the shaded region constructed in part b by evaluating the definite integral from part a.

c. Find the area of the shaded region constructed in part b by using a common geometric area formula. d. Find the area of the shaded region constructed in part b by evaluating the definite integral from part a. (Hint: Areas from parts c and d should match) 2. Let's assume now that the acceleration of the car is not a constant positive value, but one that is constantly increasing as well. After all, you don't want to floor the gas pedal from rest, but gradually want to push it down to the floorboard as the car is moving 11 over time. Therefore, the velocity function to consider now is v(t) = =t², which 8. satisfies both the car starting at rest (0,0) and moving at 88 ft/sec after 8 seconds (8,88). a. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? b. Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes appropriately. Since a common geometric area formula will not be useful here as there exists a nonlinear side, use left Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2° d. Use right Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2- e. Find the exact area of the shaded region constructed in part b by evaluating the definite integral from part a.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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can you help with 2d on the second page, It the one that says "Use right Riemann Sums..."

c. Find the area of the shaded region constructed in part b by using a common geometric area formula. d. Find the area of the shaded region constructed in part b by evaluating the definite integral from part a. (Hint: Areas from parts c and d should match) 2. Let's assume now that the acceleration of the car is not a constant positive value, but one that is constantly increasing as well. After all, you don't want to floor the gas pedal from rest, but gradually want to push it down to the floorboard as the car is moving 11 over time. Therefore, the velocity function to consider now is v(t) = =t², which 8. satisfies both the car starting at rest (0,0) and moving at 88 ft/sec after 8 seconds (8,88). a. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? b. Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes appropriately.
Transcribed Image Text:c. Find the area of the shaded region constructed in part b by using a common geometric area formula. d. Find the area of the shaded region constructed in part b by evaluating the definite integral from part a. (Hint: Areas from parts c and d should match) 2. Let's assume now that the acceleration of the car is not a constant positive value, but one that is constantly increasing as well. After all, you don't want to floor the gas pedal from rest, but gradually want to push it down to the floorboard as the car is moving 11 over time. Therefore, the velocity function to consider now is v(t) = =t², which 8. satisfies both the car starting at rest (0,0) and moving at 88 ft/sec after 8 seconds (8,88). a. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? b. Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes appropriately.
Since a common geometric area formula will not be useful here as there exists a nonlinear side, use left Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2° d. Use right Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2- e. Find the exact area of the shaded region constructed in part b by evaluating the definite integral from part a.
Transcribed Image Text:Since a common geometric area formula will not be useful here as there exists a nonlinear side, use left Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2° d. Use right Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2- e. Find the exact area of the shaded region constructed in part b by evaluating the definite integral from part a.
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