6. Let f(n)= o(n)/n. (a) Show that if p is prime, then f(p) = f(p). (b) Find all n such that f(n) = 1/2.

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Q: 4) Find the largest eigen value for the matrix 1 ^-['s 2] wi A= with x (0)=(7/17_1) 54

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A: Solution:-

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A: Given: y=x To find: The transformations used to get the equation y+4=-2x

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A: We have solved using the standard formulas of integral then proceed further as in next step.

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Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. dy(x,0) y(0,1)= 0,…

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Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: If u = f(y + ax) + (y-ax), then to №² u №² u (a) a² (b) dy² 2 Əy² 2 (c) - a². (d) a №²u น 2 Əy² №² u…

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Q: 2 4 Fs [f"(x)] = √ √ ² Pf60) - P²Fs {f(x)] proof: H⋅w.

A: Introduction: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on…

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Q: Describe the transformations of the functions. State the domain and ran

A: (b) Given,           y+4=-2x

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Q: etermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Solenoidal vector field

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