Find the critical points and test them using D(x,y) for f(x,y)=4x-3x³-2xy². Hint: use fy=0 to create (two) cases.

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Q: Approximate In 2.75 using Maclaurin expansion. (Hint: Use y = In(x + 1) for reference function.)

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Q: 7. Let x₁ = a > 0 and Xn+1 = x + 1/x,, for n E N. Determine whether (x,) converges or diverges.

A: Q7 asked and answered.

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Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

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Q: -1 3 -6 -4 -3 4 Let y = ,Vi= " 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: nctions and the y-axis. (Draw the functions and shade the area to be determined.)

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A: Here we use basic trigonometry to solve this

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Q: 2) Write an equation for each graph a) f(x) = (3,2) 24

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Q: L-1 s-1 (s²+9) { +9)} Find laplace inverse

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

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Q: 5 the following Tuation Sutisfied Cauchy - Rieman. equation 4 W = Z Z" سر

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Q: go, he has not finishec ce between the bracke

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Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. [1.20…

A: The given problem is to find the inverse matrix for the given matrices by using Gauss Jordan method.

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Q: Write the function in the form f(x) = (x − k)q(x) + r(x) for the given value of k. f(x) = -3x³ +…

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Q: 4. x + 3x = 0 Solve y + 3x + 2y = 0 ż+2y+z=0 transforms. for x(0) = 1, y(0) = 0, z(0) = 1 by using…

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Q: -31 B -9 .The QR factorization of -6 [/²/3 - 1/√√/2] 3√√2 = ] 0 2 - 1/2 √2) (a) Applying the QR…

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A: Solution: Given,   λ=1             μ=4 Since  the waiting line system meets the assumption of M/M/1,…

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Q: (b) Find the differentiation of tan 4√√x 1-4x

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