(No Technology) Region R is bounded by y=√x, y = 1 and the y-axis. Region S is bounded by y=√√x, x = 4 and the x-axis. a. Find the area of region R. b. Write but do not evaluate an integral expression for the volume of the solid generated when region S is rotated by the line x = 5. c. Write an expression that will give the arc length ofy=√x from (0,0) to (16,4) in terms of y. Please write out your answers and submit all your work into the assignment slot in 03

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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(No Technology) Region R is bounded by y=√x, y = 1 and the y-axis. Region S is bounded
by y=√√x, x=4 and the x-axis.
a. Find the area of region R.
b. Write but do not evaluate an integral expression for the volume of the solid generated
when region S is rotated by the line x = 5.
c. Write an expression that will give the arc length ofy=√x from (0,0) to (16,4) in terms of y.
Please write out your answers and submit all your work into the assignment slot in 03
Transcribed Image Text:ww (No Technology) Region R is bounded by y=√x, y = 1 and the y-axis. Region S is bounded by y=√√x, x=4 and the x-axis. a. Find the area of region R. b. Write but do not evaluate an integral expression for the volume of the solid generated when region S is rotated by the line x = 5. c. Write an expression that will give the arc length ofy=√x from (0,0) to (16,4) in terms of y. Please write out your answers and submit all your work into the assignment slot in 03
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