sin (A+B) cos(A-B)

Q: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Solve the following differential equation by variation of parameters. Fully evaluate all integrals.…

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Q: In this problem you will use variation of parameters to solve the nonhomogeneous equation y" + y =…

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Q: You are given the parametric equations (a) Use calculus to find the Cartesian coordinates of the…

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Q: Consider the curve given by the parametric equations x=t(t² — 108), _y=8(t² — 108) a.) Determine the…

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Q: Consider the linear system A₁ = №₁ ÿ₁(t) = ÿ' a. Find the eigenvalues and eigenvectors for the…

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Q: Find a parametrization of the curve ²/3 + y²/3 = 1 and use it to compute the area of the interior.

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Q: Solve the following differential equation: y" + 10y + 25y = 0 Answer: y(x) = C₁ +C₂ NOTE: The order…

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Q: Use calculus to find the exact Cartesian coordinates of the leftmost point on the parametric curve x…

A: Advance maths

Q: The graph of the function f(x) is (the horizontal axis is x.) Given the differential equation x'(t)…

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Q: QUESTION 1 1. Variation of Parameters: In Problem below, find the general solution of the given…

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Q: Find an equation for each line that passes through the point (4, 3) and is tangent to the parametric…

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Q: Find y as a function of x if y(4) — 6y" + 9y" = 0, y(0) = 18, y'(0) = 10, y'(0) = 9, y″(0) = 0. y(x)…

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Q: Prove the following statements: i. Let x, y and z be integers. If exactly one of x,y and z is odd…

A: i. Given x,y,z are integers and any one of them is exactly odd then in general it is represented as…

Q: There is considerable evidence to support the theory that for some species there is a minimum…

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Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: (a) Using a trig identity, write x(t) = 3 cos (7t) + 2 sin(7t) using only one cosine function. x(t)…

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Q: For each of the following linear difference equations, please find an expression for yn, the…

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Q: x₁ + 2x₂ The solution of the system x₁ - x₂ - 4x3 X2 X3 = 5 = -1 is: x₁ + x₂ = 2x3 = 3 x2

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Q: The set 1 [O 01 B : is a basis of the space of upper-triangular 2 x 2 matrices. -3 -27 Find the…

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Q: This is the fourth part of a four-part problem. If the given solutions [t² = 2t], in(t) = T₂(t) =…

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Q: Q2 Suppose that f(x) = x* +2x +2 is a polynomial over the field (Z3, +3.3). Is f(x) irreducible over…

A: Just substitute all elements in Z3 in f(x) and check if something is zero.

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = d²y/dx² = x…

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Q: Let y(t) be a solution of y'= y(1) such that y(0) = 12. Determine lim y(t) without finding y(t)…

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Q: (c) Explain why the following function is discontinuous at x = 1. (x² f (x) = if x + 1 х2 — 1 - 1 if…

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Q: A) Solve The Following Equation By (Lagrange Method): пр + ди = 2(x + y)u и %3D и (х, у) и дх ду и…

A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

Q: Consider the following integral. Sketch its reglon of integration in the xy-plane LL vain(=") de dy…

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Q: Solve the system [: dx dt with x(0) = C1 = *2 = 3 9 -1 -3 2 4 X Give your solution in real form.

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Q: Do the following series converge absolutely, converge conditionally, or diverge? Explain your…

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