85. Suppose that f is the differentiable function show panying graph and that the position at time t (in seconds) of a
85. Suppose that f is the differentiable function show panying graph and that the position at time t (in seconds) of a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Can you help me answer question 85 please
![c. From part (b) and the definition of the definite integral,
show that
= (D) – (9)d
f(x) dx.
%D
85. Suppose that f is the differentiable function shown in the accom-
panying graph and that the position at time t (in seconds) of a
particle moving along a coordinate axis is
= S
f(x) dx
meters. Use the graph to answer the following questions. Give rea-
sons for your answers.
4
(x)f = &
(3, 3)
(2, 2)
2-
(1, 1)
3.
(5, 2)
1 2 3 4 5 6 7 8/9
0.
-1
-2
a. What is the particle's velocity at time t = 5?
b. Is the acceleration of the particle at timet = 5 positive or
negative?
c. What is the particle's position at time t = 3?
d. At what time during the first 9 sec does s have its largest value?
6.
e. Approximately when is the acceleration zero?
f. When is the particle moving toward the origin? Away from
the origin?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f9f5af3-aba1-4214-9270-322ead4dbe49%2F3661a78a-f75a-452d-b547-d08a8262a40f%2Fcqzuk2r.jpeg&w=3840&q=75)
Transcribed Image Text:c. From part (b) and the definition of the definite integral,
show that
= (D) – (9)d
f(x) dx.
%D
85. Suppose that f is the differentiable function shown in the accom-
panying graph and that the position at time t (in seconds) of a
particle moving along a coordinate axis is
= S
f(x) dx
meters. Use the graph to answer the following questions. Give rea-
sons for your answers.
4
(x)f = &
(3, 3)
(2, 2)
2-
(1, 1)
3.
(5, 2)
1 2 3 4 5 6 7 8/9
0.
-1
-2
a. What is the particle's velocity at time t = 5?
b. Is the acceleration of the particle at timet = 5 positive or
negative?
c. What is the particle's position at time t = 3?
d. At what time during the first 9 sec does s have its largest value?
6.
e. Approximately when is the acceleration zero?
f. When is the particle moving toward the origin? Away from
the origin?
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