Assume f' is given by the graph in the figure. Suppose fis continuous and that f(0) = 0. (a) Find f(3) = (b) Find f(7)= [²² (c) Find 20 O 15 f'(x) dx = 10 5 -5 -10 -15 (d) Sketch a graph of f over the interval 0 ≤ x ≤ 7. f(x) -20 f(x) 20 15 10 5 -5 -10 10 -15 54 -20 -5 -10 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 f(x) O 6 O 7 7 x X 7 X f(x) 20 15 10 5 -5 -10 -15 -20 f(x) 20 15 10 5 -5 -10 -15 -20 1 2 2 3 3

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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Assume f' is given by the graph in the figure. Suppose fis continuous and that f(0) = 0.
(a) Find f(3) =
(b) Find f(7)=
(c) Find
Lo
20
15
f'(x) dx =
10
5
-5
-10
-15
-20
(d) Sketch a graph of f over the interval 0 ≤ x ≤ 7.
f(x)
f(x)
20
15
10
5
-5
-10
10
-15
59
-10
-20
-5
1
1
1
2
2
2
3
3
3
O
4
4
4
O
5
5
5
f(x)
6
6
X
✓
7
7
X
X
f(x)
20
15
10
5
-5
-10
-15
-20
f(x)
20
15
10
5
-5
-10
-15
- 20
سے
1
2
2
3
4
1₁
3
4
5
5
6
6
X
7
X
Transcribed Image Text:Assume f' is given by the graph in the figure. Suppose fis continuous and that f(0) = 0. (a) Find f(3) = (b) Find f(7)= (c) Find Lo 20 15 f'(x) dx = 10 5 -5 -10 -15 -20 (d) Sketch a graph of f over the interval 0 ≤ x ≤ 7. f(x) f(x) 20 15 10 5 -5 -10 10 -15 59 -10 -20 -5 1 1 1 2 2 2 3 3 3 O 4 4 4 O 5 5 5 f(x) 6 6 X ✓ 7 7 X X f(x) 20 15 10 5 -5 -10 -15 -20 f(x) 20 15 10 5 -5 -10 -15 - 20 سے 1 2 2 3 4 1₁ 3 4 5 5 6 6 X 7 X
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