a) S SR y dA. Y b) S Sy dA

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A: subjected to constrain

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Q: (a) S (b) a (c) b (d) f(t) (e) dt (f) n (h) n-1 (i) f(t;) (j) Δt (k) lim 848 ned the standard 12.

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: 1. Let B₁ = = {-1} {[]} i) Find Rep ii) Find Rep B1 and -{[]} B2 = be two ordered bases for R² C…

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Q: Consider the vector field F (x, y, z) = (3z + 4y)i + (z+4x)j + (y + 3x)k. a) Find a function f such…

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Q: Evaluate f(V x F) dS where S is the surface x² + y² +3z² = 1, z ≤0 and F = (y, -x, zx³y²). Let the…

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Q: The graph of f(t) is given below. 765 4 7₁ 6 5 y 3₁ 2 1 t o 10 Find the Laplace transform F(s) =…

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Q: Use ϵ–δ arguments to prove:

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Q: 2. The equation that models the amount of time, +, in minutes that a cup of hot chocolate has been…

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Q: Find the product of the following matrices, if possible. :] [: -6 9-6 O A. Select the correct choice…

A: We use basic rules of matrix multiplication to solve this problem.

Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (√2 cis 77)

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A: We compute the flux of the vector field through the surface.

Q: a ן3 ). ח

A: According to Bartleby guidelines I have solved first three parts

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Q: Let 7= X1 Describe all solutions of a₁₁ + a₂2 +33 + 44 = Ō. I2 X3 C4 18 = x2 13 ā₂ - [3]₁03 = [27],…

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Q: Determine the indices for the three planes in the cubic unit cell shown in the figure below: 4 1 2 A…

A: We have to Determine the indices for the three planes in the cubic unit cell shown in the figure.