x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0) (x, y) = (0,0) is continuous at (0,0).

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A: Let's do laplace transform of given function.

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A: To be found : Value of cos 105°

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A: You have asked multiple questions and not mentioned which question answer you need so according to…

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A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

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A: A detailed solution is given below.

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Q: 1. Find the first 3 terms in the Maclaurin series for the function f(x) = sin2x 2. Find the first 3…

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Q: Q14) The solution of y'" + y = 0 by using power series method, is: a) y(x) = 40 + a11- + ...) 41 51…

A: 14)    Given differential equation y''+y'=0 ......................(1)    We can substitute…

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A: A detailed solution is given below.

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A: This question can be solved using the concept of polar coordinates of a point.

Q: Evaluate the following improper integral or state that it is divergent. * 2 3 dz 6 -1 $4 – 2z

A: ∫-1234-2z6 dz Note:     Multiple questions are given, we are answer with only one question. If you…

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Q: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

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A: The volume of the water remaining in the tank after t minutes V=50001-t402  gallons