Evaluate the given integral by changing to polar coordinates. 11₂ (² (5x - y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² = 16 and the lines x = 0 and y = x

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

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Q: Compute the shaded area shown in the figure. -2 -1 SP 2 Y r = 1 + 2 sin 1 2 X

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

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A: The given problem is to evaluate the given integral, we can use substitution method to evaluate.

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A: The formula to calculate the surface integral  ∫∫Dfx,y,gx,ydA over the region D is: ∫∫Dfx,y,gx,ydS…

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A: The given problem is to find the area of shaded region in between the given 2 curves. Find the…

Q: 1. Evaluate the integral: VI-x² (b) e-a²-y° dy dx (Hint: Use polar coordinates)

A: Given:

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…