Exercise. Let F(x, y) = 8-y and R be the region enclosed by the circles r = cos(0) and r = 3 cos (0). Use polar coordinates to set-up and evaluate ff F(x, y) dA. pi F(z,y) dA = [ 0 3cos(theta) cos(theta) ? 8-r sin(theta) X 8-r sin (0)

Q: Q2 Q1 Find the points of intersection of the polar curves r-cos () = 0 and 2-cos A-r=0

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: Let (r, 0) denote the usual polar coordinates. Show that if U(r, 0) is a harmonic function, then so…

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Q: Convert (−2, −9) to polar coordinates.

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Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0s 0 < 27T. (-võ-v2) (r, O) =…

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Q: With polar coordinates (3, -1), find (r, θ) for r>0 and r

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Q: Let (r, θ) denote the usual polar coordinates. Show that if U(r, θ) is a harmonicfunction, then so…

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Q: Q2 Find the points of intersection of the polar curves r=1+cos and r= -cos

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Q: b. Plot the polar curve r= 2(1- cos0) in interval t ,2n

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