The table below shows values for four differentiable functions. Suppose we know the following things: e'(x) = p(x) p'(x) = a(x) a'(x) = g(x) g'(x) = e(x) 01 2 3 4 a(x) 42103 g(x) 4 2 03 1 e(x) 302 4 1 p(x) 0 2 3 1 4 ³ [₁ a(z) a(x)dx? What is

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Question 25: The table below shows values for four differentiable functions. Suppose we know the following things:

e'(x)=p(x)e′(x)=p(x)

p'(x)=a(x)p′(x)=a(x)

a'(x)=g(x)a′(x)=g(x)

g'(x)=e(x)g′(x)=e(x)

  0 1 2 3 4
a(x)a(x) 4 2 1 0 3
g(x)g(x) 4 2 0 3 1
e(x)e(x) 3 0 2 4 1
p(x)p(x) 0 2 3 1 4



What is ∫10a(x)dx∫01a(x)dx?
__________
  

What is ∫31(e(x)+8)dx∫13(e(x)+8)dx?
________________
  

What is the equation of the tangent line to the curve y=g(x)y=g(x) when x=2x=2?

Answer: y=___________

 

Please answer all three questions thanks!

The table below shows values for four differentiable functions. Suppose we know the following things:
e'(x) = p(x)
p'(x) = a(x)
a'(x) = g(x)
g'(x) = e(x)
0
3
4
a(x) 4
g(x) 4
e(x) 3
p(x) 02
What is
S a(x)dx?
.3
What is
[² (e(x) + 8) da?
What is the equation of the tangent line to the curve y = g(x) when x =
2?
Answer: y =
122|0|2
NON3
2
1
0
2
MOM
+3+
03
| - | - |
3
4 1
1
4
Transcribed Image Text:The table below shows values for four differentiable functions. Suppose we know the following things: e'(x) = p(x) p'(x) = a(x) a'(x) = g(x) g'(x) = e(x) 0 3 4 a(x) 4 g(x) 4 e(x) 3 p(x) 02 What is S a(x)dx? .3 What is [² (e(x) + 8) da? What is the equation of the tangent line to the curve y = g(x) when x = 2? Answer: y = 122|0|2 NON3 2 1 0 2 MOM +3+ 03 | - | - | 3 4 1 1 4
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