/2 1. Let F(x) = f(t) dt and G(x) g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 3.5 3 y = f(x) 2 y = g(x) 1 0.5 1 3 4 (i) Evaluate 9(f(t) + 1)f'(t) dt. gʻ(In(x)) a In(z)- (G(2))9 (;) (ii) Evaluate dx. 12 (iii) Evaluate dx.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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x/2
1. Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0,6] are below.
4
3.5
3
y = f(x)
2
y = g(x)
1
0.5
1
2
5
(i) Evaluate
| 9(f(t) + 1)f'(t) dt.
(ii) Evaluate
| In(x)-
gʻ(In(x))
dx.
e3
12
(iii) Evaluate
I S(G(=))g () da.
Transcribed Image Text:x/2 1. Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0,6] are below. 4 3.5 3 y = f(x) 2 y = g(x) 1 0.5 1 2 5 (i) Evaluate | 9(f(t) + 1)f'(t) dt. (ii) Evaluate | In(x)- gʻ(In(x)) dx. e3 12 (iii) Evaluate I S(G(=))g () da.
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