FREE RESPONSE Use the table to answer the questions below. X 0 2 5 -10 -4 20 f'(x) 1 5 11 f"(x) 2 2 2 g(x) -7 -1 83 g'(x) 3 9(2)=(-1=1 1²/11 = (3 3. If B = f(x)-2g(x), then B'(0) = ? 7 58 g"(x) 8 26 1. Find the average rate of change of f over the interval 0 ≤ x ≤ 2. Find the value of x at which the instantaneous velocity of g is equal to the average rate of change of f over the interval 0 ≤ x ≤ 2. 2005 -¹) 40/ 2-02 3x - 7 2. Write the equation of the line normal to g(x) at the point where x = 2. 3x3. (2.1) 3(x-1)=77-2 3
FREE RESPONSE Use the table to answer the questions below. X 0 2 5 -10 -4 20 f'(x) 1 5 11 f"(x) 2 2 2 g(x) -7 -1 83 g'(x) 3 9(2)=(-1=1 1²/11 = (3 3. If B = f(x)-2g(x), then B'(0) = ? 7 58 g"(x) 8 26 1. Find the average rate of change of f over the interval 0 ≤ x ≤ 2. Find the value of x at which the instantaneous velocity of g is equal to the average rate of change of f over the interval 0 ≤ x ≤ 2. 2005 -¹) 40/ 2-02 3x - 7 2. Write the equation of the line normal to g(x) at the point where x = 2. 3x3. (2.1) 3(x-1)=77-2 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Free response #1
Transcribed Image Text:FREE RESPONSE
Use the table to answer the questions below.
225
f(x)
-10
-4
20
-4
4 40/
2-0
f'(x)
1
5
11
f"(x)
2
2
2
g(x)
-7
-1
83
ARTY
g'(x)
3
1. Find the average rate of change of f over the interval 0 ≤ x ≤ 2. Find the value of x at which the
instantaneous velocity of g is equal to the average rate of change of f over the interval 0 ≤ x ≤ 2.
3x
X
7
58
g"(x)
4
8
26
f
2. Write the equation of the line normal to g(x) at the point where x = 2.
3/x-3x - *.
۶(۰)
9(2)=(-750
5²41=(3 - 1²/10 = 3 m
tar
3. If B = f(x) - 2g(x), then B'(0) = ?
(2
X-2)=YM-3-X
31
7
m
-1)
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