Integrate  zex^2 + y^2  over the cylinder  x2 + y2 ≤ 25, 2 ≤ z ≤ 5.

Q: Use the method discussed under “Integrating Factor found by Inspection”. (PLEASE SHOW COMPLETE…

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Q: Compute the volume of the solid bounded by the vertical cylinder x2+y2=1 and the horizontal cylinder…

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Q: sketch the described regions of integration. 0 ≤ x ≤ 3, 0 ≤ y ≤ 2x

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: Find the centroid of the solid bounded by x² = 4y and y = 5x - x² about the x-axis.

A: We will draw the region and rotate it about x-axis to create a solid of revolution . We will need…

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A: To find- The Solid bounded by the surfaces S1 : 2x + 3z = 6, S2 : y = 2, S3 : y - 22 = 2x - 2, S4 :…

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

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Q: Find the centroid of the region bounded by y = 9 – x² and the x-axis.

A: Given, y=9-x2or let fx=9-x2and x-axis y=0or let gx=0

Q: Find the centroid of the solid formed by revolving about ox the area bounded by y^2=2x and the line…

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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: Find  the Volumeof the largest rectangular box lying above the xy-plane, with y less that or equal…

A: considerlength of rectangular box =x width of rectangular box  =yheight of rectangular box =z

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: 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: Convert dzdydx /9-x-y Into an integral of cylindrical coordinates

A: Given∫03∫09-x2∫3--x2-y2x2+y2 dz dy dxTo convert it into polar coordinateswe know thatx=rcosθ,y=rsinθ…

Q: triangle with vertices (-4, 1) (-2,1) (-3,2), rotated about x=1, set up the integral using the shell…

A: Given vertices of triangle are (-4,1) (-2,1) (-3,2) & axis of rotation is x=1 we have to find…

Q: Simplify down to a single integral in terms of . .3 /9-x² 63–42²–4z² Volume = 1 dy dz dx = Σ da.…

A: ∫-33∫-9-x29-x2y3x2+3z263-4x2-4z2dzdx

Q: Find the volume of the solid generated by revolving the region bounded by 1 about the line x = 3…

A: Given equation y=x2-2x+2 and x=0, x=1, y=1 about the line x=3

Q: Sketch the region of integration. (x, y) dx dy y y (0, 9) |(9,9) (0, 9) (9, 9) y=x y=x

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Q: . The solid bounded by z = 1 – x², z = 5 – 2x², y = 0, and y – z = 6. |

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Q: Evaluate the integral. 1//3 3earctan(y) dy -V3 1 + y2

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Q: Find the volume of the solid above the triangle with vertices (0, 0), (1, 0) and (1, 2), below the…

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Q: Find the centroid of the region bounded by y = 28x and y = 56 (x – 14). Enter the exact answer as a…

A: Given: The regions bounded by y2 = 28x  and y2 = 56(x-14). To determine: The Centroid of the region…

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: calculate the volume of the solid bounded by the paraboloid z=x2+y2 and the elliptical paraboloid…

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Q: So, the volume of the solid of revolution is Volume = V = t (25 - x2)2 dx. To find the volume,…

A: A step of a problem is given. The sub steps of the given steps is to be completed. The solution is…

Q: volume of solid of as revolution y^2=4x and x^2=4y about the x axis

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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: Why is integration needed to compute the work performed in stretching a spring?

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Q: sketch the described regions of integration. 0 ≤y ≤ 1, y ≤ x ≤ 2y

A: To sketch the regions of integration 0≤y≤1y≤x≤2y

Q: line integral Compute the where part of the cirele x² +yR=9 C is the %3D in the first quarant from…

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Q: How do I find integrals and their boundaries when working with the cylinderical shell method?

A: According to the cylindrical shell method,

Q: CoSx dx sin2x-5sinх-6

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Q: Compute for the volume of the solid formed bounded by the equations (y- 4)2 = x - 3, x-10, y-4, and…

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: Make the given Differential equation in exact form and than integrate.

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: We will find out the required solution.

Q: Which order of integration is preferable to integrate ƒ(x, y) = xyover R = {(x, y): y - 1 ≤ x ≤ 1 -…

A: Given: fx,y=xyR=x,y:y-1≤x≤1-y, 0≤y≤1 To Determine: Which order of integration is Preferable to…

Q: Use Integration by Parts with u = x and v' = bx.

A: Given, u=x  &  v'=bx

Q: Find volume y=3x^2, x=1, and y=0 about x axis

A: y=3x^2, x=1, and y=0 about x axis

Q: When can I use U-substitution, Integration by Parts, Trigonometic Substitution and Integration by…

A: Here we have to use the basic concept of using the above methods of integration.

Q: The center of mass of a composite body: O is the same as the center of gravity of the composite…

A: To find- The center of mass of a composite body: Is the same as the center of gravity of 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: Compute the volume of the solid obtained by revolving the graph of the function f(x)=8x$ on the…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x)= 9x5 on the…

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Q: FCx) is continoos on L3,5) and S Fex) dx= 5 Evaluate integral

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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

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