Q1: Use the table below to answer the following questions. I f(x) f'(x) g(r) g'(r) 1 -1 2 3 -2 1 -1 2 -2 38 -2 -1 0 4 1 -3 (a) If H (r) = 2, what is the equation of the tangent line when 2=-1? (b) If J(x)=3, what is the value of J'(0)? 4x+f(x) (c) If K (a)= T), what is the slope of the normal line when I=-2?

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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Q1: Use the table below to answer the following questions.
I
-2
-1
0
f(x) f'(x) g(x) g'(r)
1
-1
2
4
3
-2
1
-1
2
-2
1
-3
(a) If H (r) = 27, what is the equation of the tangent line when
x=-1?
(b) If J(z)= 327
3, what is the value of J'(0)?
(c) If K(x) = 4+, what is the slope of the normal line when
4x+f(x)
=12?
Transcribed Image Text:Q1: Use the table below to answer the following questions. I -2 -1 0 f(x) f'(x) g(x) g'(r) 1 -1 2 4 3 -2 1 -1 2 -2 1 -3 (a) If H (r) = 27, what is the equation of the tangent line when x=-1? (b) If J(z)= 327 3, what is the value of J'(0)? (c) If K(x) = 4+, what is the slope of the normal line when 4x+f(x) =12?
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