Question
Asked Nov 27, 2019
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Use cylindrical or spherical coordinates to calculate the triple integral in each case

y22z ; z=2
+y2)dxdydz
:
: x2+y2
<1 ; x2 +y <2z
b) l +y?dxdydz
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y22z ; z=2 +y2)dxdydz : : x2+y2 <1 ; x2 +y <2z b) l +y?dxdydz

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Expert Answer

Step 1

We’ll answer the first question since the exact one wasn’t
specified. Please submit a new question specifying the one you’d like answered.

Step 2

Given:

(x y)dxcydz Q:x+ y =2z; z 2
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(x y)dxcydz Q:x+ y =2z; z 2

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Step 3

Conversion of cartesian coordinates ...

(x, y,z) (r,0,z)
yrsin
Z Z
e= tan
x
Z = Z
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(x, y,z) (r,0,z) yrsin Z Z e= tan x Z = Z

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Calculus

Integration

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