Expand the following expressions, TC(q) - 2TR(q) – FC (q) 5q – (3 – 2q)3 1 – ln (e2/9-x)2

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A: As per policy at a time one question or a question with related subparts can be answered. We will…

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A: Given vectors are u = 8, 2, -6v = -3, 0, 3

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Q: f(x) = a) 70 x(x-2)(x + 5) Express f(x) in partial fractions.

A: Given: The given function is fx=70xx-2x+5.

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A: Since you have posted a multiple question according to guildlines I will solve first(9)   question…

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Q: factorise the following: a. 4y +4 (2y) + 4 b. 108q -36 +7q3 -59q2

A: We will use middle term factorization and vanishing method to factorize.

Q: FIND ву тие дит From д 100 плестірно д 5

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Q: Evaluate the triple integral. JJJ 8xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0),…

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Q: y=x² (-2,4) 0 (1,6) (2,4) 3y = 2x + 16 y=-2x+8 X

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Q: Problem 4. Find all critical points of the function f(x, y) = 2(x² + y²)e−(x²+y²). Note this…

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Q: What is the general solution of the differential equation 2y" -y+3y=-e-³x?

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Q: help

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Q: Consider the following LP max x1 + x2 s.t. x1 −x2 ≤2 (y1) −2x1 + 3x2 ≤2 (y2) −x1 −2x2 ≤−1 (y3) x1,…

A: Ans-1) To write down the dual of the primal LP, we first introduce dual variables y1, y2, and y3…

Q: 4. Determine the solutions in vector form for Ax = 0. 2 1 5 ----- (a) A = -1 1 -1 Sol'n 1 1 3 [1 (b)…

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Q: Use Cramer's rule to compute the solutions of the systems in Exercises 1-6. 1. 5x₁ + 7x2 = 3 2x1 +…

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Q: Exercise 8.5.5. Use the following steps to prove that det(AT) = det(A): (1) First write PA = LU as I…

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A: Given: A=4358958-324 To find: LU factorization of A LDU' factorization of A

Q: Let g = E=19jXE,,mEj < oo. Show that g E LP (E). (Note: x is a characteristic function)

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Q: Solve the problem. [:] Determine if the set {V₁, V₂, V3} is linearly independent. Let V₁ = [3]. V2 =…

A: The given vectors are v1=1-36, v2=-38-4, v3=2-2-2. We have to determine whether the set v1, v2, v3…

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Q: In the quadratric equation, isn't   b2 - 4ac = (233- 4(0.014)(-30,000) = 529-(-1680) = 2209??? then…

A: Yes you are right .. The solution of the quadratic equation given below

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Q: Evaluate the surface integral of F across S. For closed surfaces, use the positive (outward)…

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Q: Ž EXAMPLE 2 Describe the surface whose equation in cylindrical coordinates is z = 4r. SOLUTION The…

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Q: Prove that a graph is two-colorable (bipartite) if and only if it contains no odd-length cycle

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Q: Find the length of the curve. r(t) = 3i + t²j+t³k, 0≤t≤1

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Q: Find x and y. -4 X = [-]- *]-[14 (E (x, y) = -4 18 8 CO

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Q: Show that if A and B are two conjugate matrices. i.e. that if A = PBP-¹ for some invertible matrix…

A: Given: A and B are two conjugate matrices. A=PBP-1 for some invertible matrix P. ZA and ZB are…

Q: 20 1²V66-3² 3² √/x²+² sin(x² + y²)dzdydx Given Draw the region of integration include the 3D graph…

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Q: Evaluate h(5), where h = go f. f(x)=√x²-3, h(5) 5 Enter a number. Need Help? Read It g(x) = 9x³ + 3…

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Q: 2. Use the Plancherel formula to evaluate Fourier transform is 1/(1+x²).] 1 JR (1+x²)² dx. [Hint:…

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Q: Two circles are given such that one iscompletely lying inside the other without touching.…

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