5 Find & coordinate of the center of mass For Solid G is the solid in the first octant 2 bounded by spheres, x²+₁²+² = 1 and x² + y² +2²=4 with the density of (x₁4, 2) = Z 15T Given the mass For Solid G is 16

Q: 25. The transformation in Exercise 17

A: To determine whether the linear transformation T(x1, x2, x3, x4) = (0, x1 + x2, x2 + x3, x3 + x4) is…

Q: Find the volume of the largest box of the type shown in the figure, with one corner at the origin…

A:

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: Sketch the cylinder given by x = 4- Z*2（z square）in three-dimensional space.

A: Given: The equation is x=4-z2. To sketch: The given equation in three-dimensional space.

Q: Find the center of mass of a thin plate of constant density 6 covering the given region. The region…

A:

Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…

A:

Q: 1,2 40 40 cm 40 cm 40 xp, 40 Saỹ dA y SadA 0, 40 1 x'dx Jo 40 What is written instead of '?'

A:

Q: Find the volumes of the solids described as the solid bounded above by the hyperboloid with equation…

A: Given: The solid bounded above by the hyperboloid with equation z = x2 − y2 and bounded below by the…

Q: Calculate the volume of the solid bounded by the sphere x2 + y2 +z2  =4 and the cylinder x2 + ( y -…

A: Triple integral is used to find the volume of a solid in three dimension. Sometimes, it is very…

Q: - Cone o Find the volume of the solid region above the cone (zv3)" (z 2 0) and below the sphere x² +…

A: Using spherical coordinates,

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

A:

Q: Which is the equation of a sphere with a center at (1,0,-2) with a volume of 36(pi)(u^3)? a.…

A: We first defined the equation of sphere and centre,volume . Using this formula we have equation (a)…

Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

A:

Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: Evaluate the solid bounded by 2x+z=2 and (x-1)2+y2=z.

A:

Q: find volume of tetrahedron with vertices W= (2,2,2)  X= (5,4,3) Y= (5,4,4) Z= (5,5,5)

A: