pause Ts 3. In the diagram above, the circle with radius 1 in the figure touches the curve y = 13x| exactly twice. Find the area of the region that lies between the two curves by doing parts (a), (b), and (c) below in order." (a) Find the x-coordinate of the point where the circle meets the line on the right. Hint: The two functions must have the same derivative at the point where they meet. (b) Set up an integral that will give the area of the region between the two curves. Hint: Use part (a) and symmetry... Recall: Area = " top(x) – bottom(x) dx %3D a (c) Solve the integral. Hint: Use Trigonometric Substitution!

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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pause
Ts
3.
In the diagram above, the circle with radius 1 in the figure touches the curve y = 13x| exactly twice.
Find the area of the region that lies between the two curves by doing parts (a), (b), and (c) below in
order."
(a)
Find the x-coordinate of the point where the circle meets the line on the right.
Hint:
The two functions must have the same derivative at the point where they meet.
(b)
Set up an integral that will give the area of the region between the two curves.
Hint:
Use part (a) and symmetry...
Recall: Area = " top(x) – bottom(x) dx
%3D
a
(c)
Solve the integral.
Hint: Use Trigonometric Substitution!
Transcribed Image Text:pause Ts 3. In the diagram above, the circle with radius 1 in the figure touches the curve y = 13x| exactly twice. Find the area of the region that lies between the two curves by doing parts (a), (b), and (c) below in order." (a) Find the x-coordinate of the point where the circle meets the line on the right. Hint: The two functions must have the same derivative at the point where they meet. (b) Set up an integral that will give the area of the region between the two curves. Hint: Use part (a) and symmetry... Recall: Area = " top(x) – bottom(x) dx %3D a (c) Solve the integral. Hint: Use Trigonometric Substitution!
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