Consider the graph of a velocity function v(t) given below. Assuming this velocity function represents the velocity of a car and is measure in ft/sec, stein ate the total distance traveled by the car during the first 8 seconds of its moving first using four rectangles and then using 8 rectangles.

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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Consider the graph of a velocity function v(t) given below. Assuming this velocity function represents the velocity of a car and is measure in ft/sec, stein ate the total distance traveled by the car during the first 8 seconds of its moving first using four rectangles and then using 8 rectangles. 

1. Consider the graph of a velocity function v(t) given below. Assuming this velocity function represents
the velocity of a car and is measured in ft/sec, estimate the total distance traveled by the car during
the first 8 seconds of it moving first using 4 rectangles and then using 8 rectangles. Hint: You can
easily use the grid lines to find the heights of each rectangle used. The magenta points will
also give you a guide on how to construct the rectangles. Note here you will get neither
an underestimate nor an overestimate, for v(t) is neither strictly increasing nor strictly
decreasing on [0,8].
11
v(t)
10
6.
8
4
3
1.
6.
8
9.
4.
3.
21
2.
Transcribed Image Text:1. Consider the graph of a velocity function v(t) given below. Assuming this velocity function represents the velocity of a car and is measured in ft/sec, estimate the total distance traveled by the car during the first 8 seconds of it moving first using 4 rectangles and then using 8 rectangles. Hint: You can easily use the grid lines to find the heights of each rectangle used. The magenta points will also give you a guide on how to construct the rectangles. Note here you will get neither an underestimate nor an overestimate, for v(t) is neither strictly increasing nor strictly decreasing on [0,8]. 11 v(t) 10 6. 8 4 3 1. 6. 8 9. 4. 3. 21 2.
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