2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a) Cartesian Coordinates b) Spherical Coordinates

Q: Find the volume of the solid region Q cut from the sphere x2 + y2 + z2 = 4 by the cylinder r = 2 sin…

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Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 8x² and…

A: Find the volume bound by the Planes and cylinder ,using triple integrals in general coordinates

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A: Data from the question÷

Q: consider the equations: y=x2 and y = -x2 -x +6 1) Sketch both curves of the given equations on the…

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Q: AREA UNDER THE PLANE 6x +4y +z = 12 above the disk W/ BOUNDARY CIRCLE

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A: Given equation is z2 + y2 + x2 = 4

Q: Calculate the Centroid of the region bounded by y= x³₁ X-2 and the x-axis. a) using vertical strip

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Q: Using Pappus' theorem, find the centroid of the upper region bounded by the graph of X² + Y² = R²…

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Q: Let R be the region bounded by y = 2 sin (r), y =2(x - 2)², and y=x+1, and containing the point…

A: Let R be the region bounded by the curves y=2sin⁡(π2x), y=2(x−2)2, and y=x+1, containing the point…

Q: A solid is bounded on the top by the sphere x + y +z² = 26 and on the bottom by %3D the plane z =1.…

A: Given that a  solid is bounded on the top by the sphere x2+y2+z2=26 and on the bottom by the plane…

Q: Q1) Find plane area bounded by y = 2,y = 6 – x, and y = 8 - 3x using double %3D

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Q: 4 gion pounded by the sphere x² + y² + z² = 9. p) Find the mass of a wire shaped as the left half of…

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Q: Use triple integrals in spherical coordinates to find the volume of the solid bounded above by the…

A: The given problem is to find the volume of solid bounded by cone x2+y2=3z2 below the xy plane and on…

Q: Use double integral in polar coordinates to find the area of the portion of the paraboloid 2z=x² +y²…

A: Given that 2z=x2+y2 that lies in x2+y2=4 The aim is to find the area.

Q: Let R be the shaded region bounded by the graph of y= lnx and the line y=x-2 a) find the area of R…

A: Here there are two graphs, let f(x) = ln (x) and g(x) = x – 2, R denotes the shaded region bounded…

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: 5 x? + y? = 16, y² - x = 4.

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Q: For the area bounded by curves x = y² - 4y and x = 2y-y², a) determine the area. b) calculate the…

A: Given equation  x=y2-4yx=2y-y2 Now finding the point of intersection…

Q: Find the volume of the solid generated by revolving the region bounded by y =√x and the lines y =1,…

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Q: 5c please

A: 5c)The function ∫f(z)dx=−2Explanation:Step 1:Broken line is zo​,z2​,z1​ for z2​=1Step 2:5c)The…

Q: SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…