Let lim f(x)=9. Use the limit rules to find the following limit. X-8 lim √f(x) X-8

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A: Given: -3x2-3y2=-18

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A: First we shall find auxilary equation and its root then find the solutions

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A: Here we have to find the equation of tangent line.

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A: Solution given below

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A: dv = dxdydz And put the limit of integration.

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A: The volume is given by scalar triple product of vectors.

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A: Let's solve.

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A: To find the roots of  (d2 - 4)(d - 2)y = 0.

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A: Given

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A: Please refer to the image below

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Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: 1 A = 1 1 * The Eigen values of the matrix 0 1 1 10 1. 1 10 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0-12

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Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1…

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Q: Please recheck it, the answer is wrong. It isn't 823.

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

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Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: Find the critical points of the function f(x) = 4 cos² (x) contained in the interval (0, 2). Use a…

A: Follow the procedure given below.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: Please solve the bottom question.

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Q: x fare cos = dx 2

A: Indefinite Integration

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: x + 2y + 2z = -3…

A: According to Bartleby guidelines I can only answer the first question of the given two problems.

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: By using the compund interest formula

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

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