Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤ 1.75, about the x-axis. Set up the integral that gives the area of the given surface. 1.75 √ 22x-x²1+ 0.5 S= (1-x)² 2x-x dx The area of the surface is square units. (Type an exact answer, using as needed.) Par

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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K
ngth and Surfaces of Revolution
Find the area of the surface generated by revolving the curve y = √2x-x², 0.5 ≤x≤ 1.75, about the x-axis.
Set up the integral that gives the area of the given surface.
1.75
S=
0.5
2√/2x-x²1+
(1 − x)²
2x-x²
dx
Question 5, 0.4
Part
The area of the surface is square units.
(Type an exact answer, using as needed.)
Transcribed Image Text:K ngth and Surfaces of Revolution Find the area of the surface generated by revolving the curve y = √2x-x², 0.5 ≤x≤ 1.75, about the x-axis. Set up the integral that gives the area of the given surface. 1.75 S= 0.5 2√/2x-x²1+ (1 − x)² 2x-x² dx Question 5, 0.4 Part The area of the surface is square units. (Type an exact answer, using as needed.)
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