Find the volume of the solid of revolution generated by revolving the region in the first quadrant bounded by the x-axis and the graph of y = 2x − x2 about the following. a. the x-axis b. the y-axis c. the line x = 3 d. the line y = 1

Q: Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and +2y-8=0. A. 11.7 B. 4.7 C. 9.7…

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Q: Find the area of the region bounded by the X – axis, the lines x = 4 and x = 6 and the curve X – 1 A…

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Q: Find the areas enclosed by the following curves: x + y? = 3 4x + y? = 0 37 4x + y? = 0 %3D -1 -3-

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Q: The area of the region enclosed by the parabola y = 2 - x? and the line y = -x is :

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Q: 2. Write down the name of the curves and shade the region that is inside of r = 8 and to the left of…

A: Solution :-

Q: Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: The area of region bounded by the parabola y2 = 4x and the line %3D y = 2x – 4 is

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y the…

A: The area of the smaller region( to the left of the parabola) bounded by  the x-axis, and the tangent…