I cannot solve this problem. Can you help me? please use cylindrical coordina res to caiculate the triple integralSSSw f(x,ydv for the function f Cx,y;z)-Lz Wat +y2Z NX784and the region x'ty?

Name: I cannot solve this problem. Can you help me? please use cylindrical c
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Description: I cannot solve this problem. Can you help me? please use cylindrical coordina res to caiculate the triple integralSSSw f(x,ydv for the function f Cx,y;z)-Lz Wat +y2Z NX784and the region x'ty?

Consider the given function, fx,y,z=1784zx2+y2 And, x2+y2≤z≤28-x2+y2 We have to calculate the…

Answered: use cylindrical coordinares to…

Math

Advanced Math

use cylindrical coordinares to caiculate the +riple integral JJSW F(x,y,z) dv for the function f Cx, y,z)-Lz dx? + yZ 784 and the regionx'ty?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I cannot solve this problem. Can you help me? please

use cylindrical coordina res to caiculate the triple integral
SSSw f(x,ydv for the function f Cx,y;z)-Lz Wat +y2
Z NX
784
and the region x'ty?<z<28- Cx'+y?).
Sw f (xiy,z]aV= ?

Expert Solution

Step 1

Consider the given function,

$f (x, y, z) = \frac{1}{784} z \sqrt{x^{2} + y^{2}}$

And,

$x^{2} + y^{2} \leq z \leq 28 - (x^{2} + y^{2})$

We have to calculate the integral,

$I = \underset{W}{∭} f (x, y, z) d V$

Step by step

Solved in 2 steps

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