5. What is the Laplace Transform of f(t) = t° cos h 2t? (42) b) 3/

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A: Solution:-

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A: Given clear step by step solution below

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Q: Example:1 Verify Cayley-Hamilton theorem for the matrix A= .2 41 and find its inverse. 3.

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Q: 2. For each of the following sets, determine whether each of these statements is true or false.…

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Q: Find the outward flux of F = (4x +25y*,0,) 10z through the surface 25 4 9

A: Solution:-

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A: 1st we will use implicit differentiation with chain rule and for next part total derivative

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A: Solution

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A: Given below clear answer

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Q: Example:4 Verify Cayley-Hamilton theorem. Hence find 2 -1 A-1, A -1 2 -1 1 -1 2

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Q: Consider the given matrix. 1 0 2 1 1 2 Find the eigenvalues. (Enter your answers as a…

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Q: -26.6 Let s(x) = x – + ... and c(x) = 1– +- for x E R. -- . (a) Prove s' = c and c' (b) Prove (s? +…

A: This is a problem of calculus, and series.

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A: Area of parametric surface given by r(u,v) , a<u<b and c<v<d Area=∫ab∫cdru×rvdv du

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Q: A grain silo has a cylindrical shape. Its diameter is 16 ft, and its height is 33 ft. What is the…

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Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

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Q: Given a solid is bounded by f(x,y) = 5x² + 5y², x² +y² = 3?, 4y = 7x and x = 0 in the first octant.…

A: We will draw the region for base of solid and then convert boundary curves into polar form to find…