Assume that a = 4. Integrate f(x, y) = 5y(x² + y²)³ over D using polar coordinates. (Use symbolic notation and fractions where needed.) Sy(x² + y²) ³dA =

Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

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Q: Convert the conic r = 1 5- 5 sin 0 to rectangular form. Hint: r=√√x² + y² and y=r sin

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Q: Q1) Evaluate the integral dy dx using polar coordinate

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Q: 9. Write 4x²y = 1 in Polar Form.

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Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: Evaluate | exp(-2²)dx, using an iterated integral and polar coordinates.

A: Using Cartesian coordinates to polar coordinates.

Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: 9-y² 2. Evaluate the integral (2.x + y) dady by converting to polar 9-y? Coor- dinates.

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Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

A: To find the intersection point two curve we have to find r,θ by solving given curve.

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

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Q: Convert to rectangular form. You do not need to isolate y. (a) r= 4 cos0 (b) r = 4sin 20

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Q: Polar form of(-3,-3) is none of these O (3 V2,5 1/4) O (3V2,-5n/4) O (-3/2,5m/4)

A: Given:      Coordinates x,y=-3,-3 Converting to polar form r,θ:       r=x2+y2      r=-32+-32…

Q: Evaluate F dr where C is the line segment from (7,-,1) to (20, 1, and F (sin(yz) + 1)i + (zz cos(yz)…

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