7. Consider the identity: k n n = n a. Is this true? Try it for a few values of n and k. b. Use the formula for (2) to give an algebraic proof of the identity. c. Give a combinatorial proof of the identity.

Q: -3 (a) Find the coordinate vector of x = 2 with respect to the ordered basis 3 of R3: E= 0 -- {B·…

A: Handwritten solution provided.Explanation:Step 1:Step 2:Step 3: Step 4:

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A:

Q: 2.(2.3) Let f(x, y) = xy(e² + e³) for (x, y) = R². (1) Find fx and fy. (2) Find an equation of the…

A: (1) fx​=yex+yey+xyexfy​=xex+xey+xyey (2)(3e)x+(3e)y−z=4e  Explanation:

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A: The given function is: .We need to find .

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A:

Q: (5) Let a,b,c Є R² be three fixed vectors, where a and b are linearly independent and c ‡ 0. Let d…

A: The number of active constraints at the BFS is 2.Explanation:The primal LPP has the following…

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Q: 4. Prove that f(x, y, z) = 2 - 1 x² + y² is continuous in all its domain.

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Q: #11.Don't provide handwriting solutions

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A: Let's solve each part of this problem step by step using the provided information:Explanation:1.…

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Q: 2. The position vectors of A, B and C relative to a fixed origin O are respectively, Find, ABAC

A: [2].

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Q: a11 a12 a1n C11 C21 ... C12 C22 ... a21 a22 A2n Let A = and adj(A) = ... ... ... Ann Cin C2n ... an1…

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Q: x(t) = Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where A = = [12 -12]…

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Q: how do i apprach this problem?

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A: (a) -3, 1, -3, 2(b) &lt; -3, 1, -3, 2 &gt;Explanation:

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A: I have given detailed solution below thanks Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 2 Evaluate • 2yr² + 9y³ d.A where D is the region bounded by y +9y3dA = x and y = 2√√x. 3 D

A:

Q: 9.4-4. Manually apply the Hungarian algorithm to solve the assignment problem having the following…

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Q: homogeneous first order differential equation

A:

Q: Find the domain and solve. 10.6√x ≤2.6√x-8

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A: The answer is given below.Explanation:

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