Although this integral could be written as 3 9-z2 (9 - x2 - z2) vx² + z²dz dx it's easier to convert to polar coordinates in the xz-plane: x = rcos(0), z = rsin(0). This gives %3D

Q: 3) Evaluate the iterated integral by converting. polar coordinates the to as to bo a) √x²+y² dy dx

A: Solution 3: a: Given  ∫01∫02x-x2x2+y2dydx Here 0≤x≤1 and y=0 to…

Q: Evaluate the iterated integral by converting to polar coordinates.

A: Given

Q: /9– x2 (x² + y?)3/2 dy dx 0,

A:

Q: Convert the integral to polar coordinates and evaluate. 4 - y² (x² + y²)² dx dy V 4 - y2

A: Use polar coordinates

Q: Evaluate the iterated integral by converting to polar coordinates. 1- Cos(x² + y²)dydx.

A: We have to evaluate the integral                                       ∫01∫01-y2cosx2+y2dydx

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. S LvS- (x² + y²)…

A: Solve

Q: 3) Evaluate the iterated integral by converting the to polar coordinates -√₂x-x² a) √²ty² dydx…

A: Given that, The integrated integral: (a) ∫02∫02x-x2x2+y2dydx,  such that , the region is…

Q: Change the Cartesian integral to an equivalent polar integral and then evaluate: 225-y² (x² + y²) dx…

A: ∫015∫0225-y2x2+y2dxdy=50625π8

Q: Evaluate the iterated integral by converting to polar coordinates V81 – x2 e-x2 - y dy dx

A: see 2nd step

Q: Evaluate the integral by converting to polar coordinates: a x²y dædy 0 -va?-y2

A: Given ∫0a∫-a2-y20x2ydxdy Evaluate integral by converting to polar coordinates Green curve is the…

Q: Evaluate the iterated integral by converting to polar coordinates. 2х — х2 4 V x2 + y2 dy dx

A: Given that, ∫02∫02x-x24x2+y2dydx Calculate the integral value.

Q: F. Change the Cartesian integral to polar coordinate dy dx 171-1 حول من كان الى بولير ار

A:

Q: 2x – x2 2х — х 5Vx2 + y2 dy dx

A:

Q: Evaluate the iterated integral by converting to polar Coordinates LN (x2 + y2) dy dx

A: Givn integral is∫01∫0yx2+y2dydx

Q: Q.1) Use the polar integral to evaluate dydz

A:

Q: 5. Evaluate the iterated integral by converting to polar co-ordinates: 1-y2 CoS V x² + y² dx dy

A:

Q: Convert the integral to polar coordinates and evaluate. V49 - x2 sin(x2 + y2) dy dx V49- x2

A:

Q: Evaluate the iterated integral by converting to polar coordinates. V4 - x 2 x² - y² dy dx

A:

Q: Convert the integral to polar coordinates and evaluate. 4 – y2 (x2 + y2)2 dx dy -V4 - y2

A:

Q: Q2\change the Cartesian integral into an equivalent polar integral and evaluate the polar integral…

A: According to question, Given integral, let I = ∫01∫x2-x2x+2ydydx

Q: Evaluate the given integral by changing to polar coordinates. cos V x2 + y2) dA, where D is the disk…

A:

Q: Use the given transformation to evaluate the integral. 6 sin(81x2 + 25y2) da, where R is the region…

A:

Q: Q.1) Use the polar integral to evaluate 2 dydr 71+ Vr2 + y?

A:

Q: Evaluate the iterated integral by converting to polar coordinates. '2 2x – x2 4V x2 + y2 dy dx 0.

A:

Q: Calculate the iterated integral. '2 3 1I (8x3 - 18xy²) dy dx

A: To evaluate the below iterated integral To evaluate the iterated integral follow the below steps…

Q: 7. To convert the following cartesian integral to polar, the double integral becomes, * cos (x² +…

A:

Q: 2. Convert the integral In(r² + y? + 1) dx dy into a polar integral and then evaluate it

A: Explained below

Q: Evaluate the iterated integral by converting to polar coordinates. V36 x2 6 e-x2- y2 dy dx

A: The given integral function is

Q: Evaluate the iterated integral by converting to polar coordinates. integral from 0 to 4 integral…

A: The given integral is, I=∫04∫016-x2e-x2-y2dydx

Q: Evaluate the iterated integral by converting to polar coordinates. (2x – 8/ x2 + y2 dy dx 2x - x2

A:

Q: Evaluate the iterated integral by converting to polar coordinates. — х2 8 V x2 + y2 dy dx '2 2x – x

A:

Q: 1)Evaluate the interated integral by converting to polar V4-x2 x2+y2 dydx xpáp_zh + z*\ ITV

A:

Q: 2 v2x-x2 xydydx 0 0

A:

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. Nan 72 - y² Z+y²…

A:

Q: a (0 32. x²y dx dy -Va?-y?

A: Given Integral, I=∫0a∫-a2-y20 x2y dx dy Use Polar coordinates,  x=rcosθ, y=rsinθ, dxdy=rdrdθ limits:…

Q: Evaluate the iterated integral by converting to polar coordinates. 4(x + y) dx dy

A:

Q: Evaluate the iterated integral by converting to polar coordinates. 2x – x2 8V x2 + y2 dy dx

A:

Q: to polar coordinates + y² dxdy J turns into integral. when converting the integral.

A: I have done solution in detail...go through the solution

Q: Evaluate the iterated integral by converting to polar coordinates. V 32 - y2 x²+ y2 dx dy

A:

Q: Evaluate the iterated integral by converting to polar coordinates. 2x - x² [²√²-2² 9√ x² + y² dy dx…

A:

Q: w/2 x cos cos z dy dx dz

A:

Q: Evaluate the iterated integral by converting to polar coordinates. V4 – x2 e-x2 - y2 ' 2 dy dx

A: The given integral is ∫02∫04-x2e-x2-y2dy dx. Region of integration is x,y| 0≤x≤2  and  0≤y≤4-x2.…

Q: 6) Convert the integral to polar coordinates and evaluate xydx dy y

A:

Q: Change the integral from rectangular to polar. Then evaluate. 1 dy dx 36-x² 1 + Vx2 +y?

A:

Q: Convert the integral to polar coordinates and evaluate. V9 – x2 sin(x2 + y?) dy dx 3. -V9 – x2

A:

Q: Evaluate the iterated integral by converting to polar coordinates. V 2x – x2 5Vx? + y2 dy dx

A: Here we have to find the integration of the function by converting it in the polar coordinate.   The…

Q: Use the given transformation to evaluate the integral, 10 sin(81x2 + 49y2) dA,    where R is the…

A:

Q: Find the double integral by using for polar coordinate for ſf, (x2 + y²)3/2 dydx Where R:between y=x…

A: We have to evaluate the double integral by using polar coordinates