If the integral 2 Y L³² fő f* (xy + 2)dzdzdy was converted into an integral in cylindrical coordinates, it would be equivalent to which of the following: 2 sec 1 [*²0* (r² cos 0 sin0 + 2)rdzdrdə 2 csc 0 [¯³ [.²¨¨°¶³ 1 (r² tan 0 + 2)rdzdrde 2 sec 0 1 √ √ √* (rª² cos 0 sin0 + 2)rdzdrdo 2 csc 0 1 •[*** (r² cos sin + 2)rdzdrdo 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 54E
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If the integral
2
Y
L³² fő f* (xy + 2)dzdzdy
was converted into an integral in cylindrical coordinates, it would be equivalent to which of the following:
2 sec
1
[*²0* (r² cos 0 sin0 + 2)rdzdrdə
[¯³
2 csc 0
[.²¨¨°¶³
1
(r² tan 0 + 2)rdzdrde
2 sec 0
1
√ √ √* (rª² cos 0 sin0 + 2)rdzdrdo
2 csc 0 1
• [[[
0
(r² cos 0 sin0 + 2)rdzdrdo
Transcribed Image Text:If the integral 2 Y L³² fő f* (xy + 2)dzdzdy was converted into an integral in cylindrical coordinates, it would be equivalent to which of the following: 2 sec 1 [*²0* (r² cos 0 sin0 + 2)rdzdrdə [¯³ 2 csc 0 [.²¨¨°¶³ 1 (r² tan 0 + 2)rdzdrde 2 sec 0 1 √ √ √* (rª² cos 0 sin0 + 2)rdzdrdo 2 csc 0 1 • [[[ 0 (r² cos 0 sin0 + 2)rdzdrdo
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