y" + 4y = csc2x cot2x (Use Method of Variation of Parameters (MVP))

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Q: maxf(x, y) = -ry+3 Subject to: x² + xy + y² = 3

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Q: whether the following sets are open: (Justify your answer.) 3,5 (b) (-∞, 0) U (0, 1) (d) (-∞,0) U…

A: Open set

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A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} Is set B a…

A: It is provided that: A=1,2,3,4,5,6,7,8B=1,2,3,4,5   We need to check if B is the subset of A.

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Q: Prove the following statement. You may employ any proof techniques If n € Z, then 4|n² or 4| (n²-1).

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Q: Solution: Next, solve the system or max 2² +² subject to: x² + xy + y² = 3 L(x, y, A) = (x² + y²) +…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: '0 8 3 تر محمد (1 + x)5 dx

A: According to guideline we need to solve one question. Rest of the questions should be reposted.

Q: an

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Q: kp - t x² + 5x² + 4x = 12+ + 30e + 0) = (0)5 (as op x(0)=1, x'(0)=3 Solve the above Ivp and then…

A: Given differential equation is: x'' + 5x' + 4x = 12t + 30e-t So, the auxillary equation will be: m2…

Q: 12. Prove using both the pick a point method and the algebraic method For each set, A, B, and C, (A^…

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0.6 K0.4 where L…

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Q: Suppose f: X→ Y, and A, B C X. Prove that (a) f(AUB) = f(A) U f(B)

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Q: b) Consider an N x N matrix A  with N orthonormal eigenvectors xi such that Axi = λi xi  , where the…

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Q: Apply the Gram-Schmidt Process to the basis B to obtain an orthogonal basis for the inner product…

A: The given basis are B=1, 1+x, 1+x+x2 on the vector space V=P2ℝ. We have to find the orthogonal basis…

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Q: 1. Let A a, b, c, d. Consider the following relation on A: (a) Draw a diagram of R R-(b, b), (b, d),…

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Q: 36. If the second ball is red, what is the probability that the first ball was red?

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Q: Find an SVD of the indicated matrix.

A: Let A=34 To find singular value decomposition (SVD) of A. The singular value decomposition of a…

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Q: Prove that A°= A - Ab.

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Q: Find cond1(A ) and cond∞(A). State whether th e given matrix is ill-conditioned.

A: The given matrix is A=1-2-36. To Find: cond1(A ) and cond∞(A) for the above matrix. To Check:…

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Q: Write y(t) = 2 sin 4πt + 5 cos 4rt in the form y(t) = A sin(wt + p) and identify the amplitude,…

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Q: Use Newton's method to approximate a root of the equation 5x³ + 6x + 4 = 0 as follows. Let x₁ = - 1…

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Q: Question 6 For the function h: [0, 2] → R defined by 2x + 1 x = [0, 1] 3-x x = (1, 2] prove using…

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Q: Recall from Calculus II. Theorem: The Sum of a Geometric Sequence (a.k.a. the Geometric Series) Letr…

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Q: 7. Determine whether each of these pairs of sets are equal. a) {1, 3, 3, 3, 5, 5, 5, 5, 5)}, {5, 3,…

A: 7. (a) Let the given sets are A= { 1,3,3,3,5,5,5,5,5 } and B= { 5,3,1 } = { 1,3,5 } We know that a…

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Q: Question content area top Part 1 A student takes out a loan of ​$1,900 at the beginning of each…

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Q: Let / denote the line in R with equation y = = 3x - 2. Let Q = (2, -1). (a) Write the line / in…

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