so be it r = 3xi + yi – 2zk and f (r) = –- where r| = find all of grad(f) and div ()

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A: Given,          fx,y=x4+6y-10

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A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

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A: Solution: The objective is to find linearization of the given function

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A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

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A: Solution:-

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A: Given that,

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Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

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Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

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Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

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A: Note that f0=0 and that fx0=0. So using mean value theorem there must be some 0<λ<x0:…

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Q: H.W. a PDE from the followi'ng- @u=f() Form メツ 0u=fcx?ー)

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +…

A: Given, rx=lnx3+2x2+3x+1

Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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A: The given integral is,

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A: A detailed solution is given below.

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Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 fx) =4x

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Q: Let fe Cx)= Vx if osxs 4 c.(x-4)+2 if x >4 – where c denates a real constant.

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Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: How ☺ use Gramer Rule to Find X1Z ー2メ-y+Z=-3 X+2y-2=4 -2X+39-そ21 w の 』 A eね

A: Since you have asked multiple questions in single request.so we will answering only first question.

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Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

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Q: Let flt.v) = v+3t°e'. -2 -y + 3t2e'. Then f satisfies a Lipschitz condition in y with L = 2, given…

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Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.)…

A: topic- linearization of a function

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.