Answer all questions in handwriting Find the surface area S of the paraboloid z = x²+ y below the plane z = 1, using the figure at right. (Donot simplify your answer)#3a2+y2 =1 Set up the iterated integral in cylindrical coordinates to find the moment of inertia (BUTDO NOT SOLVE), about the y-axis, of the areaenclosed by the cardioid (see Figure at right):r = a(1- cos 0).drde# 4

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Find the surface area S of the paraboloid z = x + y' below the plane z = 1, using the figure at right. (Do not simplify your answer) #3 G. a2+y? =1

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.1: The Coordinate Plane

Problem 34E: In these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a...

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Question

Answer all questions in handwriting

Find the surface area S of the paraboloid z = x²
+ y below the plane z = 1, using the figure at right. (Do
not simplify your answer)
#3
a2+y2 =1

Set up the iterated integral in cylindrical coordinates to find the moment of inertia (BUT
DO NOT SOLVE), about the y-axis, of the area
enclosed by the cardioid (see Figure at right):
r = a(1
- cos 0).
dr
de
# 4

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