Find the volume of the region bounded above by the sphere x² + v² + z² = 36 and below by the cone z = Vx? + y?. %3D

Q: Find the volume of the region bounded by z = 40 − 10y, z = 0,y = 0, and y = 4 − x 2.

A: z = 40 − 10y, z = 0,y=0 and y=4-x2The region is plane z=0, below plane z=40-10y and inside the…

Q: Find the volume of the region bounded above by the surface z=7-y and below by the rectangle R:…

A: We have given the surface equation:                           Z= 7-Y2…

Q: Find the volume of the region bounded by y = 1 − x 2, z = 1,y = 0, and z + y = 2.

A: We know that volume V of a region W is, V=∫∫∫Wdxdydz

Q: Find the volume of the region bounded above by the paraboloid z = x2 + y? and below by the square R…

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Q: Find the volume bounded by the function z = f(x, y) = xy√x² - y² 8≤x≤10 and 0≤ y ≤8. over the…

A: Volume bounded by a function z=f(x,y) and a region R=x,y:a≤x≤b,c≤y≤d is given by V=∫ab∫cdzdydx

Q: Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about the…

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Q: Find the volume of the region bounded above by the elliptical paraboloid z = 10 + x2 + 3y2 and below…

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Q: Find the volume of the region above the xy-plane, inside the cone z 24 x2 + y2 and inside the…

A: The solution are next step

Q: Find the volume of the region bounded above by the surface z =7-y and below by the rectangle R:…

A: Introduction: - The process of obtaining the area of the region under the curve is known as…

Q: Find the volume of the solid whose base is the region enclosed by y = x² and y 3, and the cross…

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Q: Find the volume of the region under the surface z = xy? and above the area bounded by x = y? and x +…

A: Solution: The objective is to find the volume of the region

Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z =…

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Q: Find the volume of the solid bounded by the circular cylinder x² + y? = 25, planes z = 1: : 0, z =…

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Q: Find the volume of the region enclosed by the cylinder x^2 + y^2 = 4 and the planes z = 0 and x+ y +…

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Q: Find the volume of the region = {(x, y, 2) : æ² + y² – 3 < z< V9 – a² – y²} E - -

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Q: Find the volume of the region en-closed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: Find 2xdA over the region R R = {(x, y) | 0 < æ < 4,0 < y < 2F by indentifying it as the volume of a…

A: Consider the given integral as ∫∫R2xdA

Q: Find the volume of the region in the first octant enclosed by the cylinder x^2 +y^2 =4 and the plane…

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Q: Find the volume of the region that lies inside the sphere x2 + y2 + z2 = 2 and outside the cylinder…

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Q: Find the volume of the region bounded above by the sphere r = 2a cos0, and below by the cone = a…

A: Given: the sphere r=2a cos theta , cone ϕ=α0&lt;α&lt;π2

Q: Find the volume of the region bounded above by the sphere x + y + z 2 and below by the paraboloid z=…

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Q: Find the volume of the region between the cylinders a? + y² = 16 and æ² + z² = 16. %3D

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Q: Q4) Find the volume of the region R, that cut from the cylinder x² + y² = 4, by planes: z = 0 and…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 24 – Va2 + y2 and inside the…

A: We have to find the volume of the region above the xy-plane, inside the cone and inside the…

Q: Find the volume of the region above the xy-plane, inside the cone z = 12 – Vx? + y² and inside the…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Find the volume of the region bounded by y=x^3 and y=x rotated about the x-axis.

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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 volume of the region under the surface z = xy² and above the area bounded by a = y² and x –…

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Q: Find the volume of the region bounded by y = Vx and y = x rotated about the x-axis.

A: The graph is where red curve represents y=x and blue line represents y=x.

Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Vx2 +y² and inside the…

A: Convert the region in parametric form.

Q: LS is The volume of the region R bounded by the paraboloid x-y+z and the half cone x=7V y?+z?

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Q: Without using a calculator, find the volume of the solid fommed when the bounded by y =x, x 0, and y…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 4 – vx² + y² and inside the…

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Q: Find the volume of the region enclosed by z = 1 – y? and z = y² – 1 for 0 < x < 21. V =

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

A: Given that the region in the first octant bounded by the coordinate planes, the plane y+z=2 and the…

Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Va² + y² and inside the…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Find 6dA over the region R = {(x, y) | 0 < x < 3,0 < volume of a solid

A: In this question we will use basic of calculus i.e concept of application of integration. We will…

Q: Find the volume of the solid that results when the region bounded by v-x1=0 and x=l04 is revolved…

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Q: 3. Find the volume of the region common to the interiors of cylinders a? + y² = 1 and r? + z2 = 1

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Q: Find the volume of the region above the xy-plane, inside the cone z = 20 – Va2 + y? and inside the…

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Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: 13. Find the volume of the region bounded by the cylinder x? + y? x + y + z = 6. = 2y and the planes…

A: In cylindrical coordinates,               x = rcosθ ,      y =rsinθ    and     z=z The volume of…

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x, y = 1,…

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Q: Calculate the volume of the region bounded by the sphere a2 + y? + z? = 5 from above and by the cone…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 12 Vx2 + y? and - incide the…

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Q: Find 3dA over the region R {(x, y) | 0 < x < 5,0 < y < 6} by indentifying it as the volume of a…

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Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic…

A: Given. gy=-4x2+369z=-5x2+45