Is there a value of r on -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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A. Is there a value of r on -3<r<2 such that f(r)=0? Give a reason for your answer.
B. Approximate the value of g'(1.5). What does this value say about the graph of g when x=1.5?
C. If h(x)=[f(x)]^2+g(x), what is the equation of the line tangent to the graph of h at x=-2?
D. Is there guaranteed to exist a value of x=c on -2<c<2, such that h'(c)=0? Give a reason for your answer.
Transcribed Image Text:The table below represents values of differentiable functions, f and g, and their first derivatives.
Use the table of values to answer the questions that follow.
/(x)
S'(x)
g(x)
g'(x)
8.
4
3
-
-2
3.
%3D
-2
2
2.
9.
A. Is there a value of ron
r 2 such that /(r)
07 Give a reason for your answer.
B. Approximate the value of gY1.5). What does this value say about the graph of g when x 15 ?
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