Find the mass of the triangular region with vertices

Q: A cylindrical can has a volume of 128 cm³. Use Lagrange multipliers to determine the dimensions of…

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Q: what is the formula to find centroid of triangular prism

A: Centroid of triangular prism is determined as shown below.

Q: Find the volume of a parallelepiped whose edges are ä = 7i+5j-k, 6-j+4k and e= 4i-3j+6k %3D

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Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: 11) Prove cos+x -sinfx = cos 2x

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Q: use triple scalar product to find the volume of the parallelpiped u= v= w=

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Q: A closed tank is made from a thin uniform metal. The tank is in the shape of a circular cylinder…

A: We know that lateral surface area of a cylinder is 2πrh, area of flat bottom is πr2, area of the…

Q: Determine the volume of the parallelepiped with one vertex at the origin and the three vertices…

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Q: Give an example of a plate such that its center of mass does not occur at any point on the plate.

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Q: Find the centroid of the following cross-sections and planes OPIGIN 21

A: The centroid of a composite can be calculated using the formula X=∑xi Ai∑Ai, Y=∑yi Ai∑Ai. Here, xi,…

Q: Integrate Xy ed २ over the triangular region with vertices: (0,0), ), (0,8) (0,16)

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Q: Find the dimensions of a closed cylindrical soft drink can that can hold soft drink of volume V for…

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Q: Find the volume of the parallelepiped with adjacent edges −→OA = , −−→OB = , −−→OC = .

A: Volume of parallelepipe is given by=  | a.(b*c) |

Q: Find the volume of a tetrahedron if the vertices are (1,1,1) , ( 5,-7,3) , (7,4,8) and (10,7,4)

A: Solution:- find position vector