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Q: Consider the following polar curve: = sin(20) (a) Sketch the graph of the curve (a rose with four…

A: Follow the steps below to get the answer, don't shade the region I have done that for your…

Q: 2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the…

A: Step 1: Here we have to find out the area inside r=4−2cos(θ) and outside r=2+2cos(θ)whose graph look…

Q: 6. Consider the polar equation: r = 2-3 sin 0 (a) Graph the curve. (b) Write integral(s)…

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Q: 9. Approximate the surface area of the surface generated by revolving the polar curve given below…

A: I have appended the formula used in the solution part

Q: 3. Given the point (x, y)=(-40/3,40). Convert this point to polar coordinates, (r.), with r>0 and 0…

A: given  (x,y)=(-403,40)in polar coordinates    x2+y2=r2and     tan(θ)=yx

Q: 7. Use polar coordinates to evaluate: fe(x²-y²) dydx

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Q: 4 16-y² •LIV (1 − g? _ g) dedy. 2. Use polar coordinates to evaluate

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Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: Find the area of the region enclosed by the inner loop of the curve. r = 6 + 12 sin(0)

A: Given  r=6+12sin(θ) 0=6+12sin(θ)-6=12sin(θ)-12=sin(θ) sin is negative in third and fourth quadrant…

Q: When graphing the polar equation r =3 cos(20) as Ø approaches from 0, the radius changes from ◆ to

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Q: 3. What is the polar equation of (a) a circle of radius a > 0 centered at the origin? (b) the…

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