(a) Evaluate the integral [x²dA where E is the region between the curve y=-x²-5x and the line E y = -x. Draw the region E. Is it a type I or type II region?

Q: d) Evaluate the area of the shaded region. y y =x'+1 -1 1

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Q: 16. Find (1) the net area and (ii) the area of the region above the x-axis bounded by y=121-x².…

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Q: Q1) find the area of region in first quadrant by revolution the line y = v2 and the curve y = secx…

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Q: Evaluate √ √R 6xy5 dydx R where the region is bounded by the curves y = = x² 1 and y = 1-². Sketch…

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Q: Evaluate ∫∫R sin(x^2 + y^2) dxdy where R is the region inside the circle x^2 + y^2 = π.

A: Given the function f(x,y)=sinx2+y2 Note that the given region R is the circle x2+y2=π with a center…

Q: Find the area of the region enclosed by the curves x = 1 - y² and x = y² – 1. Make sure you label…

A: To find the area of the region enclosed by the curves x=1-y2  and x=y2-1.

Q: Find the area of the region enclosed by the curves x = = 2y +6 and (y-2)² + 10. Show all of your…

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Q: Find the area of the region enclosed by the curves y = x^2 − 1 and y = 7 − x^2.

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Q: Find the area of the region that lies inside both curves r = 7 sin(20), r=7 sin(0) Area =

A: Given polar curves are: First curve is r1=7sin2θ Second curve is r2=7sinθ Area of a polar curve…