The graph below shows the derivative F'(x) of a function F(x) and the values of some areas. The derivative F'(x) has zeros at x = 1.5 and x = 4.67. 1. If F(0) = 14, find F(1.5). 2. Find F(4.67). 3. Find F(6). 2 Area = 25 Area = 34 T 3 4 F'(x) 5 6 Area = 5 x
The graph below shows the derivative F'(x) of a function F(x) and the values of some areas. The derivative F'(x) has zeros at x = 1.5 and x = 4.67. 1. If F(0) = 14, find F(1.5). 2. Find F(4.67). 3. Find F(6). 2 Area = 25 Area = 34 T 3 4 F'(x) 5 6 Area = 5 x
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
parts 1-3
![The graph below shows the derivative F'(x) of a function F(x) and the values of some areas.
The derivative F'(x) has zeros at x = 1.5 and x = 4.67.
Local Minimum:
Absolute Maximum:
2
Absolute Minimum:
Area = 25
Area = 34
T
3
T
4
F'(x)
5
6
1. If F(0) = 14, find F(1.5).
2. Find F(4.67).
3. Find F(6).
4. Sketch a graph of the function F(x). Use an xy-plane where 0 ≤ x ≤ 6 and -20 ≤ y ≤ 20.
5. Identify the coordinates, in the form (x, y), of the local and absolute maximum and
minimum of f in the interval [0, 6].
Local Maximum:
Area = 5
X
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Transcribed Image Text:The graph below shows the derivative F'(x) of a function F(x) and the values of some areas.
The derivative F'(x) has zeros at x = 1.5 and x = 4.67.
Local Minimum:
Absolute Maximum:
2
Absolute Minimum:
Area = 25
Area = 34
T
3
T
4
F'(x)
5
6
1. If F(0) = 14, find F(1.5).
2. Find F(4.67).
3. Find F(6).
4. Sketch a graph of the function F(x). Use an xy-plane where 0 ≤ x ≤ 6 and -20 ≤ y ≤ 20.
5. Identify the coordinates, in the form (x, y), of the local and absolute maximum and
minimum of f in the interval [0, 6].
Local Maximum:
Area = 5
X
▪ You must show ALL of your work in order to receive full credit.
▪ A PDF file upload is required for each question.
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