Assume f' is given by the graph below. Suppose f is continuous and that f(5) (Click on the graph for a larger version.) Sketch, on a sheet of work paper, an accurate graph of f, and use it to find each of f(0) = -3 and ƒ(7) = -6 Then find the value of the integral: ff'(x) dx = -3 (Note that you can do this in two different ways!)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Assume f' is given by the graph below.
Suppose f is continuous and that f(5)
(Click on the graph for a larger version.)
Sketch, on a sheet of work paper, an accurate graph of
f, and use it to find each of
f(0) = -3
and
ƒ(7) = -6
Then find the value of the integral:
f'(x) dx = -3
(Note that you can do this in two different ways!)
Transcribed Image Text:Assume f' is given by the graph below. Suppose f is continuous and that f(5) (Click on the graph for a larger version.) Sketch, on a sheet of work paper, an accurate graph of f, and use it to find each of f(0) = -3 and ƒ(7) = -6 Then find the value of the integral: f'(x) dx = -3 (Note that you can do this in two different ways!)
3
2
1
-1
-2
-3
1
2
3
5
6
I
7
Transcribed Image Text:3 2 1 -1 -2 -3 1 2 3 5 6 I 7
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