3. The function f and g are given by f(x) = x² and g(x)=x+5. Let R be the region bounded by the x-axis and the graphs of f and g, as shown in the figure.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Solve C and D on the paper!

 

3
and the graphs of f and g, as shown in the figure.
5
4
3
2
1
0
y
f(x)
The function f and g are given by f(x) = x² and
(2,4)
2-1 0 1 2
R
g(x)
3 4 5 6 7 8 9 10
g(x)=
12x+5.
-x+5. Let R be the region bounded by the x-axis
==
Transcribed Image Text:3 and the graphs of f and g, as shown in the figure. 5 4 3 2 1 0 y f(x) The function f and g are given by f(x) = x² and (2,4) 2-1 0 1 2 R g(x) 3 4 5 6 7 8 9 10 g(x)= 12x+5. -x+5. Let R be the region bounded by the x-axis ==
Part C: Calculator allowed. Write an expression that can be used to calculate the total length of the curve on the
domain [0, 10] and find the length.
Part D: Rewrite the curve f(x) = x² in terms of y and write the definite integral that can be used to determine the
length of the curve f(y).
Transcribed Image Text:Part C: Calculator allowed. Write an expression that can be used to calculate the total length of the curve on the domain [0, 10] and find the length. Part D: Rewrite the curve f(x) = x² in terms of y and write the definite integral that can be used to determine the length of the curve f(y).
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Solve on the paper

 

 

3
and the graphs of f and g, as shown in the figure.
5
4
3
2
1
0
y
f(x)
The function f and g are given by f(x) = x² and
(2,4)
2-1 0 1 2
R
g(x)
3 4 5 6 7 8 9 10
g(x)=
12x+5.
-x+5. Let R be the region bounded by the x-axis
==
Transcribed Image Text:3 and the graphs of f and g, as shown in the figure. 5 4 3 2 1 0 y f(x) The function f and g are given by f(x) = x² and (2,4) 2-1 0 1 2 R g(x) 3 4 5 6 7 8 9 10 g(x)= 12x+5. -x+5. Let R be the region bounded by the x-axis ==
Part C: Calculator allowed. Write an expression that can be used to calculate the total length of the curve on the
domain [0, 10] and find the length.
Part D: Rewrite the curve f(x) = x² in terms of y and write the definite integral that can be used to determine the
length of the curve f(y).
Transcribed Image Text:Part C: Calculator allowed. Write an expression that can be used to calculate the total length of the curve on the domain [0, 10] and find the length. Part D: Rewrite the curve f(x) = x² in terms of y and write the definite integral that can be used to determine the length of the curve f(y).
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