Q1:By triple integration, determine the volume enclosed by two surfaces y =x 2+z2. y =- -x2-z 2.

Q: Use a double integral to find the volume of the indicated solid.

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Q: use a double integral to find the volume of the indicated solid.

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Q: (2 points) The volume of the solid obtained by rotating the region enclosed by y = x², y= 5x, about…

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Q: Find the volume of the solid generated by revolving the region by graph of function f(x) 10 ;x 1.25,…

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Q: )Find volume of body from above Z = 1- y² and below 2 = x² using Triple integration.

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Q: Compute the volume of the solid obtained by revolving the graph of y =1+x^2/2 on [0,1] about the…

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Q: the volume of a solid bounded by x² + y² = 4,z=1,z = 9-3x-2y using triple integration.

A: We know that the to find the volume of a region by the triple integration V=∫∫∫dv   Where dv=dxdydz

Q: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

Q: Use a double integral to find the volume of the indicated solid. 8 z = 8- X- y 6. 4 1 2 4 V 3 y=4 4…

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Q: Find the volume of the region that is between x = 8 – z2 – y? and x = -V4y² + 4z²

A: b)the region bounded by surface x=8-y2-z2andx=-4y2+4z2inside the disky2+z2=4

Q: Use a double integral to find the volume of the indicated solid. 8. z = 8- X - y 6. 4. 3 2 1 1 1 2.…

A: We need to find volume.

Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

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Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r…

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Q: The volume of solid of revolution generated by revolving the area bounded by curve y=x and the lines…

A: The curves given are  y=x2  &amp;  y=0

Q: The volume obtained by rotating the region bounded by y=36-(x-3)2 and the x-axis about the line x=…

A: Given Region bounded by curve  y=36-(x-3)2, x-axis  (means y=0) about line x=10. the maximum y is…

Q: The area defined by the curves: y= 10/ square root (x2+1)    ;     x=1, x=4, y=1 is rotated around…

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Q: Use double integration to find the volume of the solid. ... 3x + 2y + 4z = 12

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Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: Compute the volume of the solid obtained by revolving the curve y = vx sin x about the x-axis…

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Q: Use triple integration to find the volume of the solid bounded above by z = 4 – y? and on the sides…

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Q: The volume of the solid obtained by rotating the region enclosed by y = x", y = 6x, about the line y…

A: First sketch the curves then use method of disc to get the volume of solid obtained.

Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: In the given question , find the volume of the solid generated by revolving the region bounded by…

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Q: So, the volume of the solid of revolution is Volume = V = TI (9 - x2)2 dx. To find the volume,…

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Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

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Q: 3. Find the volume of a sphere with radius r by integration.

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Q: 2. Find the volume of a cylinder with a radius of r and height h by integration.

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

A: Explained below

Q: Find the volume by using double integration. The solid in the first octant bounded by the cylinder…

A: We have the solid in the first octant . Therefore , x=0 , y=0 ,z=0  The solid is bounded by the…

Q: The volume of the solid obtained by rotating the region enclosed by y = x², Y = 2x, about the line y…

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Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

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Q: Q3: Calculate the volume of the solid obtained by rotating the region bounded by the curve y = 2x -x…

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Q: The volume of a right circular cone of radius x and height y is given by V - Tx², 'y. Suppose that…

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Q: From the equation of x² + y² + z² = 25 and inside the equation x² + y² = 9 Calculate the volume of…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x^5 on the…

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 3x, about the line y…

A: Given: y=x2 ; y=3x   Now find the point of intersection between the curve and line;…

Q: Use a double integral to find the volume of the indicated solid. z = 8-2y 2 y=2

A: The expression for the volume as double integral is: V=∬zdydx From the given equation: z=8-2y

Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: Use a double integral to find the volume of the indicated solid. 8 z = 8- X- y 4 21 4. y-4 4. y=x 3.…

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Q: 7. Find the volume of the solid under the surface 1 = 3x+ 2y? above 1 < x < 3, 0 < y < 6 using a…

A: Introduction: We know that the volume under the curve z=f(x,y) and over the region R is given by the…

Q: So, the volume of the solid of revolution is Volume = V3 = (9 - x)2 dx. To find the volume,…

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Q: Use a double integral to find the volume of the indicated solid. 16 15 z 16- X-y 14

A: We are given the following. So, we have 0≤z≤16-x-y,  x≤y≤8, 0≤x≤8.

Q: Q2|| Find the volume of the solid generated by revolving the region bounded by the curve -= X…

A: Volume of revolution

Q: What is the volume of the rotator formed by the function y = 2-x ^ (2) and rotating the region…

A: Let us consider the curve y=f(x) The volume of the solid of revolution about x-axis is obtained by…

Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line y…

A: We have to find the volume of the region.

Q: Find the volume x=y-y2; x=0 revolving at y-axis

A: Given problem:- Find the volume x=y-y2 ; x=0 revolving at y-axis

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 8x³ on the…

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