y = x x², x = 0, x = 2, y = 0, about the ï — axis is 27 units³

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Find the volume of a right circular cone with base radius r unites and height h units using the…

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Q: 2. Find the volume if the area bounded by the curve y = x³ +1, the x-axis and the limits of x=0 and…

A: Given curve is y=x3+1, the x-axis and the limits are x=0 and x=3. The objective is to find the…

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

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Q: y z Show that the volume of the segment cut by the paraboloid+ 2,2 by the plane z=h equals half the…

A: Given equation of paraboloid is: x2a2+y2b2=zc. Divide by zc on both sides.…

Q: Find the volume generated revolved about when the area of the curve the line y=-4 x² = -y is

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Q: Find the volume generated when the area bounded by the curve y2=x , the line x=4 and the x-axis is…

A: Volume bounded by the curves, about y-axis.using Disk method

Q: the area bounded by the parabola y ² =4ax, the y-axis, and the line y=2a revolves about the line…

A: given that the region is bounded byy2=4ax and y=2a and  revolves about y=2a Graphically,

Q: 22. x² + y² = 4, z = x + y, the coordinate planes, first octant

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Q: find the volu me of the o bócct Caused by the rotation oftne bouncled ared be twen y= aQ ,y=X…

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: 9₁7 = sin ² x Z D.: 02²7²5

A: The solid is bounded by z=sin2x, z=0, 0≤x≤π, 0≤y≤5