Consider the physical quantities s, t, u, v and w. We would like to work with these quantities using Buckingham's theorem. After finding dimensionless products of the form [s]"[t][u][v] [w] we arrive at the equations a-2b-0 3b+c+4d=0 0e = 0 The number of arbitrary variable(s) needed to solve this problem is:

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Q: 2 cos²xsinx V2+cosx S- dx

A: It is known that ddxsinx=cosx. It is known that: ∫xndx=xn+1n+1+C.

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A: We can solve this using shell method

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A: Given as, B= { 4, 1, 5, 3, 4, 3}

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A: The given area is enclosed by                         y2=x  and  y=x3

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0

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A: Here we need to use Fourier series to solve given problem.

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A: We have to Write Five similarities and one difference between the graphs of the functions y =  sinx…

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A: Double integration by changing the order of integration

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A: This is from Graph theory.

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A: The final answer(rounded to ten thousand decimal places) is=0.7467