Let F(r) = | S(t) dt and G(r) = g(t) dt, where the graphs of f(r) and g(r) on [0,6] are below. 3.5 y-f(z) y-9(z) 1 0.5 valuate 9S) + 1)f'(t) dt. [ In(2) . g'(n(<)) dr. (ii) Evaluate 12 (G=))» (;) (iii) Evaluate dr. 2, 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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1. Let F(z) = |
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)
y – g(z)
1
0.5
1
2
3
6.
(i) Evaluate
g(f(t) + 1)f'(t) dt.
gʻ(In(r}) dar.
(ii) Evaluate
In(x) -
(G(=))9 (5) •
(iii) Evaluate
dr.
Transcribed Image Text:1. Let F(z) = | 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) y – g(z) 1 0.5 1 2 3 6. (i) Evaluate g(f(t) + 1)f'(t) dt. gʻ(In(r}) dar. (ii) Evaluate In(x) - (G(=))9 (5) • (iii) Evaluate dr.
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