The table below shows values for four differentiable functions. Suppose we know the following things: t'(x) = g(x) g'(x) = h(1) h'(x) = f(x) f'(x) = t(1) 0 1 2 3 4 h(z) 13204 t(z) 21430 g(x) 34 102 f(1) 0 2 14 3 What is 5[*h(z)dz? What is is [* (t(z). (t(x) + 4)dx? What is the equation of the tangent line to the curve y = f(x) when I = 2? Answer: y =

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The table below shows values for four differentiable functions. Suppose we know the following things:
t'(x) = g(x)
g'(x) = h(x)
h'(x) = f(x)
f'(x) = t(x)
0 1 2 3 4
0 4
h(z) 1 3
t(x) 2 1
g(x) 3
f(x)
3 0
02
0
4 3
What is
[h(a)da?
What
is f* (t(z) - +4)dx?
What is the equation of the tangent line to the curve y = f(x) when z = 2?
Answer: y
2247-
42
1
1
30
Transcribed Image Text:The table below shows values for four differentiable functions. Suppose we know the following things: t'(x) = g(x) g'(x) = h(x) h'(x) = f(x) f'(x) = t(x) 0 1 2 3 4 0 4 h(z) 1 3 t(x) 2 1 g(x) 3 f(x) 3 0 02 0 4 3 What is [h(a)da? What is f* (t(z) - +4)dx? What is the equation of the tangent line to the curve y = f(x) when z = 2? Answer: y 2247- 42 1 1 30
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