1 dA , where R lies in the second quadrant and is bounded by the graphs of y = -x, the y-axis, and the circles R x2 x2 + y? + y? + 9 = 1 and x? + y? = 9. In polar coordinates, this integral has the form: 02 r2 . 1. f(r, 0) r drd® Enter the limits of integration (in the event one or more limits is not constant, use T for 0 ): rl = r2 = 01 = 02 = Enter f(r, 0) using T for 0 if needed: f(r, 0) = Enter the final value of the integral:

Q: Q5: Find the area of region enclosed by the polar function r = 4 – 4 sin 0

A:

Q: 1 (x+y')* dy dx -J3X 2

A: Double integration of function gives the area under the function curve. Double integration can be…

Q: calculate the area of polar equation r = 5-sin(theta)

A:

Q: Determine the area in the first quadrant bound by the polar function r(0) = sin (0) – 1.

A: Here, since the area is in the first quadrant, we can calculate the area with the help of integral…

Q: Sketch r = 4 + 8 cos θ on the image below and find the area outside the inner loop of the curve…

A: Given: The polar function, r=4+8cosθ   To sketch: The given function curve on a polar plane. To…

Q: 2 Evaluate the double integral a² + y*dA, where Dis the disc with center the origin and radius 6, by…

A:

Q: cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 Find the area under the polar curve r = 5.

A: Explanation of the answer is as follows

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

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Q: 2) Use polar coordinate dydx (1+ x² + y° )'?

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Q: Find an iterated integral in polar coordinates that represents the area of the given region in the…

A: Given,              r=4sin3θ

Q: 2-y QI) Evaluate the integral f dx dy using polar coordinate

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Q: xy dydx Evaluate the Herated intcaral by converting to polar Coordinates 3 dydX

A: We have to evaluate the iterated integral by converting it into polar coordinates.

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin * +0) in…

A:

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function 2 cos (-) in third…

A:

Q: nates. 7) Evaluate the iterated integral 23 /9-xx sin (x² + y²) dy dx by converting to polar coordi-

A: