Evaluate the given integral by changing to polar coordinates. x dA, where D is the region in the first quadrant that lies between the circles x² + y² = 4 and x² + y2 = 2x

Q: dy dx

A: Since, a=-pi/4  b=pi/4 c=0 d=√8*sec(t)

Q: Let R be the region in the first, third, and fourth quadrants that is inside the polar curve r = 1 -…

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Q: Find the area S of the shaded triangle in the figure as an integral in polar coordinates if f(0) = 8…

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Q: 2x – x2 2х — х 5Vx2 + y2 dy dx

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

A: Given ∫0a∫-a2-y20 x2ydxdy

Q: Evaluate the given integral by changing to polar coordinates. 16 cos(v cos√x² + y²) da, where D is…

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Q: Compute the area of the region enclosed by the polar coordinate equation r = 2 - sin(0).

A: Area of the region enclosed by the polar coordinate equationr=2−sin⁡(θ)

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: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.