5. Show that if X~F.m, then X-1 ~Fm.,

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

A: To Give: Wronskian of three functions.   Wronskian:

A: Consider: f(4,4)=3, fx(4,4)=fy(4,4)=-1.   The linear approximator Lx,y=fa,b-fxa,bx-a-fya,by-b. Let…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

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A: Note that, every interval is measurable.

A: Given,                F→(x, y, z)=8y3+1, 8z+1, 4 and C is parametrized by r→(t)=t3, 2, t2 for 0≤t≤1.

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A: False Any differentiable function must be continuous at every point in its domain. The converse does…

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

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A: We will use the concepts of definite integral

A: Given: Let  F→=Mi∧+Nj∧+Pk∧

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A: The given curve is  1-r2=9cos(θ)

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A: First iteration is x1 = .75*5 = 3.75... Second iteration is x2 = .75*3.75 = 2.8125... Third…

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A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

A: Given:   f(x)=5.ln(x3) over [1,3]

A: Use linear approximation

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A: Introduction - F-test of H0:β1=0consider the hypothesis test H0:β1=0Hα:β1≠0Note that Yi^=b0+b1Xiand…

A: Given a→=2i^−j^−2k^ and directional derivative of fx,y,z at the point 3,-2,1 in the direction…

A: θ=-135° Now x-coordinate of Pθ is, cos-135°=cos135°   ∵cos-x=cosx=cos180°-45°=-cos45°…

A: Given function -f(u) = lnu1+ln(2u)Differentiating with respect to u - f'(u) = ddulnu1+ln2uf'(u) =…

A: Application of derivative problem

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A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

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A: This question is related to integration using gamma function.

A: Given∫02f(x)dx=-8, ∫03f(x)dx=3, ∫02g(x)dx=7, ∫23g(x)dx=-15

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