2. Sketch the region of the plane bounded by the curve x = -y^2 and the line y = x+ 2, then calculate its area.

Q: Find the area of the propeller-shaped region enclosed by the curve x - y3 = 0 and the line x - y =…

A: x-y3=0  &  x-y=0⇒y3=x  &  y=x⇒y=x13  &  y=x Now the diagrammatic representation of the…

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: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: Find the area of the surface obtained by rotating the circle x^2+y^2=r^2 about the line y=2r

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Q: (c) Calculate the area of a region bounded by the curves y = -x and y = -x, the line y = -3, and y =…

A: Given the curve y2=-x and y=-x2, the line y=-3 and y=2

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

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Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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