Each statement below has an error. Rewrite the statement to be a true statement. 1. Let the region R be the unit disk centered at the origin (0,0). Then 2π 1 ff (x² + y²) dA = [ { r² dr de 00 SS R 2. Switching from Cartesian to polar coordinates we have 1 1-y2 0 0 ex²+y2 dx dy: 2π 1 dx dy = [ [ er² rdr de =sserz 00

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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Each statement below has an error. Rewrite the statement to make the statement true.
 
1. Let the region R be the unit disk centered at origin (0,0). Then integral integral over R (x^2+y^2) dA = integral 0 2pi integral 0 1 r^2 dr d theta
 
2. Switching from cartesian to polar coordinates we have integral 0 1 integral 0 sqrt(1-y^2) e^x^2+y^2 dx dy = integral 0 2pi integral 0 1 e^r^2 r dr d theta
 
 
Each statement below has an error. Rewrite the statement to be a true statement.
1. Let the region R be the unit disk centered at the origin (0,0). Then
2π 1
ff (x² + y²) dA
= [ {
r² dr de
00
SS
R
2. Switching from Cartesian to polar coordinates we have
1
1-y2
0
0
ex²+y2 dx dy:
2π 1
dx dy = [ [ er² rdr de
=sserz
00
Transcribed Image Text:Each statement below has an error. Rewrite the statement to be a true statement. 1. Let the region R be the unit disk centered at the origin (0,0). Then 2π 1 ff (x² + y²) dA = [ { r² dr de 00 SS R 2. Switching from Cartesian to polar coordinates we have 1 1-y2 0 0 ex²+y2 dx dy: 2π 1 dx dy = [ [ er² rdr de =sserz 00
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