The polar curve r(0) = 1-20 is graphed for 0 ≤ 0 ≤ T. Let R be the region in the third quadrant enclosed by the curve and the y-axis, as shown in the graph. Y 1 R I Which integral represents the area of R? Choose 1 answer:

Q: 1. Consider the region R in Quadrant II bounded by the line y = -x, the y-axis, and the circles,…

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Q: Sketch the curve. r=2 sin 8 1 2 -1 OO O O -1 1 -2 -1 O Find the area that it encloses. 1

A: r=2-sinθ

Q: Find the area of the region enclosed by the inner loop of the curve. r = 4 + 8 sin(0)

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Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: Draw the region with polar coordinates 1<r<3 and π/4 < θ <π/2.

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Q: 1. Find the area of the region in the first quadrant enclosed by the sin(20). (One petal of the…

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Q: Give inequalities for and e which describe region in the figure in polar coordinates. The arc shown…

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Q: Evaluate √x² + y² dA, where D is the domain in the figure and a = 16. -X (Give your answer in exact…

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Q: Sketch the curve. r=2 sin 8 1 2 -1 0.0 O C -1 1 -2 -1 Find the area that it encloses. 1

A: Given polar curve is r = 2-sinθ The above is standard curve. put, θ = π2  we get r= 2- sinπ2 = 2 -1…

Q: 3. [Straifgtforward] Find the area enclosed by the two curves: y = sin(Tx/2); Hint: Where do these…

A: Noted that here both are sine curve one along x axis and other along y axis.here two loop 1st and…

Q: Fins the area bound by one pedal of the rose curve f(theta)=4sin(3theta)

A: The given problem is to find the area bounded by one pedal of the rose the curve…

Q: Sketch the curve. r - 2 - Z #in(8) OBOO 2 3 -M -3 -1 Find the area that it encloses. 1 -1 -2 -3 0

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Q: 39.) Show how to find the surface area of f(x,y) = xy that lies over the unit circle.

A: A detailed solution is given below.