d. Based on your work in part (c), what is the value of s(4) s(1)? Include the units. Briefly explain the meaning of this quantity; be specific.
d. Based on your work in part (c), what is the value of s(4) s(1)? Include the units. Briefly explain the meaning of this quantity; be specific.
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...
Related questions
Question
Answer the last one D.
![1:11 PM Tue Apr 11
....t-1-prod-fleet02-xythos.content.blackboardcdn.com
1. [FTC4] Suppose that a person is walking in such a way that her velocity v(t) varies slightly according to the
information given in the table.
1 of 2
-2-5-
a. Using the given data, estimate the distance travelled by the walker during the two hour interval from
t = 0 to t = 2 using time intervals of width At 0.5 and using a left-hand-sum. In the graph below, shade
the regions described by the estimated distance.
velocity (mph)
-2-25-
-2-
-1-75-
1-5
1-25-
-1-
-0-7-5-
-0-5-
-0-25-
t hours 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00
v(t) mph 1.500 1.789 1.938 1.992 2.000 2.008 2.063 2.211 2.500
-0.25 -0
0.25 0.5 0.75
1.25 1.5 1.75
Math 2413: Worksheet 22
2
☎84%
time (hrs)
2.25
Page 2 of 2
b. How could you get a better approximation of the distance traveled on the time interval [0, 2]? Briefly explain.
c. Now suppose that you know that the velocity is given by v(t) = 0.5t3 - 1.5t2 + 1.5t + 1.5. Recall that v is the
derivative of the walker's position function, s. Find a formula for s so that s' = V.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea2a079e-1bd1-4a85-a500-e6717534d983%2F5d7d85d4-f3d3-40f9-9f7c-3ea1aee9f425%2Fj1c0h4x_processed.png&w=3840&q=75)
Transcribed Image Text:1:11 PM Tue Apr 11
....t-1-prod-fleet02-xythos.content.blackboardcdn.com
1. [FTC4] Suppose that a person is walking in such a way that her velocity v(t) varies slightly according to the
information given in the table.
1 of 2
-2-5-
a. Using the given data, estimate the distance travelled by the walker during the two hour interval from
t = 0 to t = 2 using time intervals of width At 0.5 and using a left-hand-sum. In the graph below, shade
the regions described by the estimated distance.
velocity (mph)
-2-25-
-2-
-1-75-
1-5
1-25-
-1-
-0-7-5-
-0-5-
-0-25-
t hours 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00
v(t) mph 1.500 1.789 1.938 1.992 2.000 2.008 2.063 2.211 2.500
-0.25 -0
0.25 0.5 0.75
1.25 1.5 1.75
Math 2413: Worksheet 22
2
☎84%
time (hrs)
2.25
Page 2 of 2
b. How could you get a better approximation of the distance traveled on the time interval [0, 2]? Briefly explain.
c. Now suppose that you know that the velocity is given by v(t) = 0.5t3 - 1.5t2 + 1.5t + 1.5. Recall that v is the
derivative of the walker's position function, s. Find a formula for s so that s' = V.
![1:12 PM Tue Apr 11
2 of 2
....t-1-prod-fleet02-xythos.content.blackboardcdn.com
Math 2413: Worksheet 22
Page 2 of 2
b. How could you get a better approximation of the distance traveled on the time interval [0, 2]? Briefly explain.
c. Now suppose that you know that the velocity is given by v(t) = 0.5t³ — 1.5t² + 1.5t + 1.5. Recall that v is the
derivative of the walker's position function, s. Find a formula for s so that s' = v.
d. Based on your work in part (c), what is the value of s(4) - s(1)? Include the units. Briefly explain the
meaning of this quantity; be specific.
84%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea2a079e-1bd1-4a85-a500-e6717534d983%2F5d7d85d4-f3d3-40f9-9f7c-3ea1aee9f425%2Fv0dbczb_processed.png&w=3840&q=75)
Transcribed Image Text:1:12 PM Tue Apr 11
2 of 2
....t-1-prod-fleet02-xythos.content.blackboardcdn.com
Math 2413: Worksheet 22
Page 2 of 2
b. How could you get a better approximation of the distance traveled on the time interval [0, 2]? Briefly explain.
c. Now suppose that you know that the velocity is given by v(t) = 0.5t³ — 1.5t² + 1.5t + 1.5. Recall that v is the
derivative of the walker's position function, s. Find a formula for s so that s' = v.
d. Based on your work in part (c), what is the value of s(4) - s(1)? Include the units. Briefly explain the
meaning of this quantity; be specific.
84%
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