Sketch the region bounded by the given lines and curves. Then express the regions area as an integrated double integral and evaluate the integral. The parabolas : X=y^2 - 2 and x=2 y^2 -3

Q: Find the surface area of the portion of the half ball with a radius a which cuts off by the cylinder…

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: sketch the region bounded by the given lines and curves. Then express the regions area as an…

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Q: || 4xy dA ; R = {(x,y): –1< x<1,-2 < y< 2}

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

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Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10

A: The equation of the curve is y=x3-4x2 and y=0

Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

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