Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1 x = 1 x = 0 x = -1

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A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

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A: To find out the first partial derivatives.

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A: answer is in next step.

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Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

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A: Solution: 2x+y=0, x≥0 y = -2x

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A: Given,  limx→0cos x1x2

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A: See this solution in below

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A: Evaluate the following limit

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Q: Expand and simplify. 3(2y-3) 2(4y-1)(4+1) Factor: a. 3x² + 16x-12 b. x²-y²-6y-9

A: We will solve all 3 subparts in the following steps.

Q: y=xe

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (5) Suppose that fis continuous on [a,b], _f(x) ≥ 0 Vx = [a,b] and ['f(x)dx = 0. E Prove that f(x) =…

A: Concept: In this question, we will prove that f(x)=0 ∀x∈a,b using the contrapositive method. Let us…

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A: The objective of the question is determine the knowns.

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A: To find the general solution of the given differential equation.

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A: The given dimenssions of ellipsoid area=25 mb=20mc=40 mthickness t = 1 m

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Q: Which of the following diagrams represents the solution to this system of equations: [1 2 0 17 0 0…

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A: We have to find the graph

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A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

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A: Given: y2= 4ax

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Q: Let A be a 2 x 3 matrix, B be a 2 x 3 and C be a 2 x 1 matrix. Which of the following could be ABC?…

A: follow next step

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A: See the answer below

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A: We need to evaluate limit.

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A: Given :y=2x-2tan-1x

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A: Given

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A: Let's solve given integral.

Q: Determine the set of points at which the function is continuous. F(x, y) - х-у 1 + x² + y2

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