The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *(;) + -1 1. 2tan () + -1 2tan | -(주) +0 3. tan-1 2.

Q: Document 83(19... u se Newton Ruphsun me thud to sulve II

A: Here f(x) = ex - 3x ∴ f′(x) = ex - 3x0 = 0.5

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A: Properties of integartion  To determine ∫f(g(x))g'(x)dx Put t=g(x) the integral will be  ∫f(g(x))g'(...

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

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A: Gradient vector: For a given function f(x,y,z), gradient vector is defined as ∇f=i∂∂x+j∂∂y+k∂∂zf=ifx...

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A: Properties of the derivative ddx(uv)=udvdx+vdudxddxxn=nxn-1ddxf(g(x))=f'(g(x)) ddxg(x)ddxsinx=cosxdd...

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A: Since you have asked multiple questions so as per guidelines we will solve the first question for yo...

Q: 3.1.11. Let C and C' be cycles in a graph G. Prove that CaC' decomposes into cycles.

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A: According to guidelines I can solve only 1 questions 

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A: Given series is ∑n=1∞(2x+3)n2n2+n-1