Evaluate or simplify the following. Your answers should not involve any trig functions and they must be exact You must draw a labeled triangle to (a) cos(arctan(3/2)) (b) sec(arcsin x)

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Q: ) Find AB and BT A, given: A = 4 05 -1 32 B 1 1 357

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Q: a) Calculate the probability P(XS 4), using the calculated probability mass function. b) Find the…

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Q: (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate?…

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Q: Find the general solution of the differential equation y" + 2y + 5y = 3 sin(2t).

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Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5…

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Q: (d) If F(x, y) = (4x² - y², -2xy), then f(x, y) =

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Q: a) Prove that for an NxN-dimensional orthogonal matrix A, the determinant |A| = ±1. b) Consider the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4.1 Suppose x~ N3 (0, 2), where -[₁ 21 1 121 112 Find a 3 x 3 matrix A, such that the component of z…

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Q: Solve step by step in digital format XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Find the…

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Q: Find the solution of the given initial value problem: y(4) + 2y" + y = 11t + 4; y(0) = y'(0) = 0,…

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Q: step by step in digital format XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Let A be a…

A: I have given the answer in the next step. Hope you understand that

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Q: 7. For the following function, fill in the table of information and the graph TWO (2) cycles of the…

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Q: Consider the matrix A = 5 1 0 5 1 0 l-1 1 6 a) Diagonalize the matrix in the form A = SAS-¹, with S…

A: Solution a) Given matrix is A=510510-116 Let the eigenvalue be λ, then…

Q: Find the directional derivative at (1, 1) if Vƒ(1, 1) = (3,−1) in the direction of the unit vector u…

A: Use the formula of directional derivative.

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Q: Multiple Choice & Numerical Response 1. The statement that is equivalent to a(z)"+1=z, is O logaz…

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Q: ) Let B = {v₁ =, V₂ =,v3 =}. Determine whether B is linearly independent or linearly dependent.

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Q: Find the area inside the inner loop of r = +5 12cosθ .

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A: Given Data: u=Rcos(ω0t -δ)u= -8cos(πt)-9sin(πt) To find:  The value of R, ω0 , δ

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Q: 5. If f(x) = 2x² - 3 and g(x) = 2 sin x, determine (fog)(x) and (fog)(2), 0≤x≤ 2n.

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Q: A dance class will be conducted in Bloomingdale Dance School. A group of eight students will be…

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Q: True or False? Linear transformation T: R^n -> R^n is injective. Is T an isomorphism? Explain.

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Q: 2-1 Se s s + 10s +26 2 S (t)=

A: We need to find the inverse Laplace of the function se-ss2+10s+26 We know the following formulas for…

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Q: QUESTION 15. (a) Give an adjacency matrix for the following graph, using the vertex order a, b, c,…

A: 15. (a) To Give: An adjacency matrix for the given graph, using the vertex order a, b, c, d, e.…

Q: Advanced Mathematics Homework. Considering h = 0.1, estimate the following equation at t = 0.2 using…

A: Given  x'=dxdt=xy+ty'=dydt=ty+x            x0=1, y0=-1 and h=0.1, t=0.2

Q: Part 3. Use separation of variables to obtain a product solution to the following: dud?u + əx² ay²…

A: Given PDE is ∂2u∂x2 + ∂2u∂y2 = 0

Q: Solve the following constrained optimization problem using the method of Lagrange multipliers: 1 min…

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Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: Determine whether each of the following matrices is positive definite. If it is not, give a…

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