Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: Find the volume between the cone y = SQRT(x^2+z^2) and the sphere x^2+y^2+z^2=9

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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: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

A: Solution

Q: Compute the area of surface generated by revolving the four-cusped of hypocycloid x⅔+ y⅔ =a⅔ about…

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Q: Calculate the volume of one of the wedge-like objects formed by cutting the cylinder x²+9y²=a² with…

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Q: Find the volume of the solid generated by revolving the region enclosed by y = 4x , y= 0 rotated…

A: It is a method for calculating the volume of a solid of revolution of a solid-state material when…

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: Find the volume of the solid generated by revolving by the curve y = v2 – x² and x-axis: حد د واحدا…

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Q: 22 = 4 – x, r² + y? = 4x

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Q: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

Q: Find the volume of the solid cut from the thick-walled cylinder 1 ≤ x2 + y2 ≤ 2 by the cones z =…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

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Q: Find the surface area cut from the cone 2x2 + 2y2 = 5z2, z > 0, by the cylinder x2 + y2 = 2y

A: To find the surface area cut from the cone 2x2 + 2y2 = 5z2, z > 0, by the cylinder x2 + y2 = 2y

Q: find The volume of Ihe solid generated by revolving each vegion enclosed by he triangle wilh…

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Q: Find the volume under the surface z = 3x³ + 3x²y and over the rectangle R = {(x,y):1 < x < 3,0 < y <…

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Q: Find the volume of the solid that lies within both the cylinder x+y = 4 and the %3D sphere x+y+z2 =…

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Q: Calculate the surface area of the portion of the cylinder X+y 9 that lies betweenz=3 and z=6. O A.…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and a 9 is…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: Find the volume of the solid generated when the region between the lines: x = 3, x = 5, y = 2,y = 4…

A: Given: The line equations are x=3, x=5, y=2 and y = 4   To find: The volume of the solid generated…

Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=9 and the three…

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Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x², -2 <x<2 about the x –…

A: Let's find.

Q: Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line…

A: Given, The volume for solid revolution between the curves and around the on interval [0,1] The…

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 2, Y = /5x, and y = 0 is…

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Q: CALCULATE THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BY 4y=x² - 4x + 8 AND THE LINES…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: Find the volume of the solid of revolution bounded by the cirde x+y = 16, and the lines z = 0 and 8,…

A: Given curve is x2+y2=16 and line x=0 and x=8 about x-axis We have to find the volume of the solid of…

Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=4 and the three…

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Q: Find the volume of the solid generated of the area bounded by y? = 8x and y = 2x, rotated about y =…

A: I am attaching image so that you understand each and every step.

Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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Q: Find the volume generated by revolving the plane area generated by the equations y = ex^2, y=0, and…

A: To find the volume of solid formed when the region bounded by y=e-x2, y=0 and  x=0  about the…

Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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Q: Find the area of the surface z = x^2 − y^2 that sits inside the cylinder x^2 + y^2 = 1

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Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…

Q: Find the volume enclosed between the two surface :z x + y and z=3

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Q: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

A: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Find the volume of the washer that is obtained when the shaded area is rotated about the x-axis. ry…

A: Given that y=x+2,y=2 The formula for washer method is, V=π∫abf(x)2-g(x)2dx Here in the problem,…

Q: Find the volume of the solid of revolution bounded by the circle +y = 16, and the lines 0 and

A: To find: Volume of the solid

Q: (b) Determine the volume of the solid that results when the region enclosed [2] by the curves y = x²…

A: Solution:Given   y=x2+2   and y=4-x2and th line y=3To determine the volume of the…

Q: Find the integrel that represente the volume of the following solid , Emc losed by y -0,20 =X and 6x…

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Q: Calculate the area of the surface defined by r = 5, 0<0<Tl4,0<¢<n/2.

A: Please see the explanation below

Q: Find the surface area obtained by rotating y = V9 – x2 ,-2sxs-1 9– x² -2sxs-1

A: Given,             y=9-x2 , -2≤x≤-1

Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three…

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Q: Find the volume of the solid that is created by rotating the area enclosed by y = Vx + 3, y = 3, and…

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Q: Find the area of the surface generated by revolving the region ounded by, y6 1<y< 5 6. 16y4 bout the…

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Q: Find the area of the surface generated by revolving the region bounded by, 1 + 6 y 1<x < 3 16x4…

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Q: Find the volume of the solid enclosed by the paraboloids z=16(x^2+y^2) and z=8−16(x^2+y^2)

A: To calculate the volume of the region contained between the two given surfaces