Q1. Find the volume of the solid region bounded above by z = 4 – 2x – 2y and above by the triangle enclosed by the lines y = x, y = 0 and x = v3 in the x-y plane.

Q: Find the volume of solid generated by revolving the region bounded by f(x)=x²+1and g(x)=x²+2x+5about…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: We have to find volume

Q: Find the volume under the parabolic cylinder z = x^2 above the region enclosed by the parabola y=…

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Q: Find the volume under the parabolic cylinder z=x² above the region enclosed by the parabola y= 6-x²…

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Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

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Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2b?and below by the…

A: To determine: The volume of the region bounded above by the sphere x2 + y2 + z2 = 2 b2below by the…

Q: Find the volume of the solid under the surface z = 2 + x^2y^2 and above the region enclosed by y =…

A: Here we have to find the volume of the solid under the surface z=2+x2y2 and above the region…

Q: Find the volume of the region bounded above by the paraboloid z = 9 – x? - y², below by the…

A: The volume of region is calculated using the triple integral, V=∭sdV Use the cylindrical…

Q: 8. Find the volume of the solid generated by revolving the region enclosed by f(x) = v6x, x= 6, and…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

A: Given is : The curves y=x2+x-2, y=0 The rotation is about the x-axis. We need to find the volume of…

Q: What is the volume of solid of revolution between the curves y=x+1 andy 0 around the x-axis on…

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Q: y = e-x and the x axis is revolved about the y - axis. (Answer: t c. u.)

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Q: Q4. Find the volume of the solid that is bounded above by the surface z =1– 2x² – y? – 2y and below…

A: Step:-1 Volume V=∭dxdydz ----(1) Now, given that required region is bounded by surface z=1-2x2-y2-2y…

Q: b) Determine the volume of the solid generated by rotating the region bounded by y = V2x and y =…

A: We have given the curves

Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x³ from…

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Q: Q1. Find the volume of the solid region bounded above by z = 4 – 2x – 2y and above by the triangle…

A: We have find volume integrals. So first draw the digram  then limit the x and y value and solve it..…

Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y= x+3…

A: According to bartleby guidelines i can do only 1 question please reupload 2nd qstn

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: Washer method

Q: b. Determine the volume of the solid obtained by rotating the region bounded by y = x2 2x and y = x…

A: The question is from the calculus in which solid of revolution, and we have to find the volume of…

Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y = x+ 3…

A: Given Equation of parabola y=x2+1. Equation of line y=x+3.

Q: Find the volume of the region bounded below by the plane z = 0, laterally by the cylinder x2 + y2 =…

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

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Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = {(x,…

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Q: Q7) Find the volume of the solid bounded above by the plane z = 4-x-y and below by the rectangle R =…

A: Volume of solid is double integral of z=f(x,y)=4-x-y over the rectangular region R in the xy-plane…

Q: Find the volume under the parabolic cylinder z = x2 above the region enclosed by the parabola y = 6…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

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Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: Find the volume of the solid that lies under the surface z = 4x + 5y + 20 and above the region D in…

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Q: B) Find the volume of the solid bounded above by the cylinder y = x² and below by the region…

A: Double integral is used to integrate the function of two variable over the region two dimensional…

Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: 5. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x²…

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Q: Q1/The volume of solid obtained by rotating the region bounded by the curves y = 1 – v4 – x² , y =…

A: Solution is given below:

Q: 2. Find the volume of the solid bounded above by the cone z = √² + y² and below by the circular…

A: Introduction: The volume of a solid that is bounded by three dimensional curves is determined…

Q: B) Find the volume of the solid bounded by the cylinders r = y, z = y² and the planes, x = 0 and z =…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)= x² + 2x…

A: Using disc method, volume is evaluated.

Q: Find the volume of the solid generated when the area bounded by the curves x^2-4y+4=0 and…

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and g(x) =…

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Q: Q5) 1- Find the volume of the solid generated by revolving the 2 region bounded by x = y+1 ,x = 0, y…

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Q: Find the volume of the solid that lies under the paraboloid z = x² + y? and above the region D in…

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Q: Find the volume of the region bounded above by the paraboloid z = x2 + y2 and below by the triangle…

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Q: 2) Find the volume of the solid that is bounded above by the cylinder z = x? and below by the region…

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Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y=x+3 about…

A: Given y=x2+1y=x+3

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: 2) Find the volume of the solid that is bounded above by the cylinder z = x and below by the region…

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Q: Find the volume of the solid that results when the region bounded by x = y and x = 3y + 10 is…

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Q: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by =Vx…

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Q: Find the volume of the solid of revolution when the region bounded by the line y=x+2 and the curve…

A: The volume for solid of revolution between curves is the volume of object between a curve y=fx and a…