Question 1 Let R be the region bounded by y=x, y=2x, x=1, x=2, and I= SS. - dA. 6 y x² + y² 2 a) Sketch the region R. b) Setup the integral I in the order dxdy. c) Setup the integral I in the order dydx and use the more convenient order to evaluate it. R

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Question 1
Let R be the region bounded by y=x, y=2x, x=1, x=2,
and I= =SS - dA.
6 y
x² + y²
a) Sketch the region R.
b) Setup the integral I in the order dxdy.
c) Setup the integral I in the order dydx and use
the more convenient order to evaluate it.
RX
Question 2
- S™ S
0
X
TT
siny
7- -dydx.
y
a) Sketch the region of integration.
b) Setup the integral I in the order dxdy.
c) Evaluate the integral using any order.
Let I=
Transcribed Image Text:Question 1 Let R be the region bounded by y=x, y=2x, x=1, x=2, and I= =SS - dA. 6 y x² + y² a) Sketch the region R. b) Setup the integral I in the order dxdy. c) Setup the integral I in the order dydx and use the more convenient order to evaluate it. RX Question 2 - S™ S 0 X TT siny 7- -dydx. y a) Sketch the region of integration. b) Setup the integral I in the order dxdy. c) Evaluate the integral using any order. Let I=
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