Which of the following is equivalent to the following integral when converted to polar coordinates? (4 – z² – y³) dy dæ (4r – r) dr de 2 (4 - (4r – p³) dr d0 0, (4 – p² ) dr d0

Q: Q4: Convert the following polar integral to Cartesian Integral in order (1) dx dy (2) dy dx T 6 csc0…

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Q: Q6 (a) Transform the integral to polar coordinates and calculate the integral. 1 dxdy V1+x* +y

A: We have solve the integral

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 4…

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Q: Convert the following integrals to polar first and then www www wwwwww calculate. 9-y2 ydxdy xdydx…

A: Use  ,  and   to convert Cartesian form to polar form . Note : The area can represented by .

Q: raluate the iterated integral by converting to polar coordinates. 16 – x2 (x2 + y2) dy dx dr de =

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Q: 2x – x2 2х — х 5Vx2 + y2 dy dx

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Q: dy dz - to polar coordinates and evaluate it (use t for 8): With a = and d = fo S, dy da = dr dt = .…

A: To find :∫08∫-xxdy dx using polar coordinates Here y varies from -x to x as x varies from 0 to 8. In…

Q: sin(x? + y°) dædy. 2. Use polar coordinates to evaluate the double integral Answer. [1- cos(4)].

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Q: L **y dx dy -Va2-y2

A: Given ∫0a∫-a2-y20 x2ydxdy

Q: Convert the integral 6 LLdyde dy dx 0 -x to polar coordinates and evaluate it (use t for ): ☐, b =…

A: The objective of this question is to convert the given integral in Cartesian coordinates to polar…

Q: er the polar curve r=O, dy at 0 = %3D dx

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Q: xez²+y? dy dx

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Q: 3. Evaluate the integral using polar coordinates. So Sy=z=1/² √² + y² dydz √1-(2-1)²

A: To find : ∫02∫1-x-124-x2 xx2+y2dy dx

Q: Vi-y sin (x2 + y2) dx dy

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