Find the area of the surface for the portion of the sphere x+y +z = 225 inside the cylinder x-+y-= 144.

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: Find the surface area of the portion of the half ball with a radius a which cuts off by the cylinder…

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: Calculate the volume of one of the wedge-like objects formed by cutting the cylinder x²+9y²=a² with…

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Q: Find the volume of the solid obtained by rotating the triangle with the vertices A(0,0), B(4,4) and…

A: Solution

Q: Calculate the coordinates of the center of mass of the body delimited by the surfaces z = 9 - √x2 +…

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Q: Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a…

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Q: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

Q: Find the volume of the solid whose base is the semicircle y = √9 - x² where -3 ≤ x ≤ 3, and the…

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Q: Find the surface area of the solid of intersection of the cylinders  x2 + z2 = 9  and  y2 + z2 = 9

A: To find the surface area of the solid

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: find the centroid of volume if the volum is equal to 7/15 π

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Q: Find the surface area for the solid of revolutic -1< x<1 about the x-axis.

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Q: ^2) and

A: In this question, the concept of Spherical Coordinates is applied. The Cartesian Coordinate system…

Q: Calculate the surface area of the portion of the cylinder X+y 9 that lies betweenz=3 and z=6. O A.…

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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: What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

A: The area under the curve can be calculated by the integration. The formula for the integration is…

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: Express the surface area of revolution for: x = (y4/4) + 1/(8y2), 1 ≤ y ≤ 2; x@axis

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Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

A: Here we find the dimensions of cone.

Q: Find an integral for the area of the surface obtained by rotating y = √25-x, 9 ≤x≤ 16, about the…

A: To find an integral for the area of the surface obtained by rotating the below equation about the…

Q: The volume of an object determined by the two surfaces is z=(x^2+y^2)-2 , z=8-3(x^2+y^2)

A: Let's find.

Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=9 and the three…

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Q: Find the area of the surface generated by revolving the region bounded by, 1 1sx55 8x2 about the y-…

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Q: Find the volume of the wedge cut from a right circular cylinder of radius 8 inches by two planes –…

A: If we place the x-axis along the diameter where the plane meet,then the base of the solid is a…

Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt(5-x)    3<…

A: Given curve is y=5-xdydx=-125-x Now, area of the surface obtained by revolving y=f(x) from x=a to…

Q: Find the center of mass of solid revolution if an area in Ist Quadrant (Kuadran Pertama) bounded by…

A: Given functions are Intersection points Area of region is Centre of mass revolution

Q: Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=4 and the three…

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Q: Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: The objective is to find the volume of the tetrahedron in the first octant that is bounded by the…

Q: to find the surface area cut from the sphere x^2+y^2+z^2=16 by the cylinder x^2+y^2-4y=0

A: To find the surface area cut from the sphere x2+y2+z2=16 by the cylinder x2+y2-4y=0.

Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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Q: Find the area of the surface z = x^2 − y^2 that sits inside the cylinder x^2 + y^2 = 1

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

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Q: Calculate the surface area of the surface given by z=x^2+y^2 over the region 0<x<2 and 0<y<min(x,…

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Q: Calculate

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Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt5-x   3< x <…

A: consider the equation

Q: What is the solid formed when the area bounded by

A: Given: 2x+y=2 The  coordinate axis is revolved about the y axis. To find: What is the solid form.

Q: Find the area of the region enclosed by the curves between their intersections. y = 4x2 and y = Vx

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: Find the volume of the wedge cut from the first octant by the cylinder x2 + y2 = 1 and the plane 2x…

A: To find the limits of x, y and z from the region of integration, substitute 0 for y.…

Q: Find the volume of the region bounded above by the surfacez=9- y2 and below by the rectangle R:…

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Q: Determine the area of the surface of revolution of x=sqrt{y} from (1,1) to (2,4), rotated about the…

A: The equation is x=y.   Determine the derivative dxdy=12y   The formula for the area of surface…

Q: Find the area of the surface generated by revolving the region bounded by, 1sx55 8x2 about the y -…

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Q: Find the volume of the portion of the solid sphere ps8 that lies between the cones o= and ф %3D 3 3…

A: The portion of the solid sphere ρ≤8 that lies in between the cones ϕ=π3  and  ϕ=2π3

Q: Find the surface area obtained by rotating y = V9 – x2 ,-2sxs-1 9– x² -2sxs-1

A: Given,             y=9-x2 , -2≤x≤-1

Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three…

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose…

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Q: Find the area of the surface generated by revolving the region ounded by, y6 1<y< 5 6. 16y4 bout the…

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Q: Find the area of the surface generated by revolving the region bounded by, 1 + 6 y 1<x < 3 16x4…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.