3- Give the solution of Poissois equation マu- fcx,g) ミn e = h(x, y) in terms of corres ponding Greens function G(x,y;§,2) where flxy) ond hCx,y are known given functions in r and M, respectively. Write also the properties of this Green's function

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

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Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

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A: the answer is option a.) zero the explanation is given in the below step

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Q: ¸(1+ h)² −1 lim h→0 h using the squeeze Theor

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Q: 11. Find the linear approximation to given function at indicated point (Баллов: 2) x2 z = 3 + +, Po…

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Q: Specifically a differential equations problem. Question in pic below. The first "Select" is either…

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Q: 1. Use the Cauchy-Riemann equations to determine whether f(z) =(y-ix) /( x2+y2) is analytic or not.…

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Q: Let f(x, y, z) = 5x³ – y + z?. Find the maximum value M for the directional derivative at the point…

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Q: The function y== In (3z - 2) satisfies the IVP: (3z – 2)°y" + 9 = 0, y(1) = 0, y'(1) = 8. Select one…

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Q: 23. Given that f(0) = v2 cos (e-), the minimum value of o1+ v2 C. %3D COS D.-1 A. V2-1. B.2N2

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Q: -Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 ,…

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Q: 2. Find the linearization of the function f(x, y) = In(x³y®) at the point (xo, yo) (4, 3). Leave all…

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Q: 5 of 9 > Let f(x, y, z) = 5x³ · y³ + z². Find the maximum value M for the directional derivative at…

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A: Given: fz=xy+iy   -1 The objective is to show that the given function is nowhere analytic.

Q: 2. Show that cos(wt – B), coswt, sinwt are linearly dependent functions of t. Show Complete Solution

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A: We have to make the appropriate selection  With the help of following transformation-

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Q: Determine f„ (0, T, 1), fy(0, , 1), f¿(0, r, 1) given the function z sin(3xz+ y²)

A: The given function,        zsin3xz+y2

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Q: The cubic function y = ax3 + bx2 + cx +d pass through (0, -6), (1, -2) and tangent to the line 3x -…

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Q: The equations re + uz – cos(v) - 2 = 0 and u cos(y) + 2x²v – 7yz2 –1= 0 can be solved for (u,v) as…

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Q: 1. How do you find the linearization of f(x) at x = a? Illustrate with a concrete example

A: We have to solve

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.