Find a Cholesky factorization of the following matrix. 4 5 -2 5 45 4 15 2 -2 0 0 0 0 0 0 15 2 =000000 0 0 0 0 0 0 8

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Q: 1. e* = 17.54 3. 2e¹x = 15 5. e* - 1 = 6 2. e²x - 5 = 14 4. ex+15=0 6. e²x + 5 = 0

A: See this solution in below

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A: Dave's wardrobe contains 23 T-shirts, of which 21 are gray. Dave selects a T-shirt at random.

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A: topic - reflection 0f a function

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A: NOTE: Refresh your page if you can't see any equations. . use the trigonometric formulas

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A: We will solve the given linear system of equation using Cramer's rule in the following step.

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A: using composite function,

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Q: 15. Find the distance from the point (5,8) to the farthest point on the circle x²+y²+6x- 16=0. a.…

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Q: Choose the end behavior of the graph of each polynomial function. (a) ƒ(x) = 4x² + 4x² + 5x − 3…

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is 4 which is…

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Q: Four times a number decreased by twelve

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Q: Problem Set D: Solve and check the following equations: 1. In(2x-1)-2 In(4) = 3 ln(2) 3. log(x-3) +…

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Q: The population of a town increased by 4% from 32,000. What was the population after the increase?

A: This question is related to percentages, we will solve it using given information.

Q: 6. Shown below are matrix A and its rref, R. A = b. Find nullity (AT). 3 -6 0 1 1 5 01 00 000 2 -4 1…

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A: Follow the procedure given below.

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Q: D (S-1)(x) = (x + ¹)(x) = (S-1)(-1) = Suppose that the functions s and I are defined for all real…

A: Topic:- function

Q: 3. Determine which of the following are subspaces of R³. (The a, b, c below are some real numbers).…

A: For being a subspace, the set must be closed under vector addition, closed under scalar…

Q: zes ces Use the given information to complete the following table. n(A)=45, n(B) = 65 n(AUB) = 100,…

A: Let's fill the table.

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Q: f(x) = (4x + 1) and g(x) = (ex), find (fg)(x). A.ex (4x + 1) B.ex + 4x + 1

A: Recall: (fg)(x)=f(x).g(x) Given, f(x) = (4x + 1) and g(x) = (ex)

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Q: 9] X [2³]-8]

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Q: 5) an = (-1)n 2n sequence

A: To find the first five terms of the sequence.