6. If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible given that Katara sits between Aang and Zuko (but not necessarily adjacent to either of them).

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A: Sol:-

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Q: 1. Which of the following sets are equal A={a,b,c,d} C={d, b, a,c} B={d,e,a,c} D={a,a,d,e.c.e} ing

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Q: . Let A = (a) be symmetric and positive definite. Show that a) a>0, i=1,2,...,n. b) |a₁|<(a‚a‚)³, i,…

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Q: Use the Base Chart method as shown in Module 3 page 64 to subtract: 314 - 148 F 3 1 L 1 4 U 4 8

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Q: Q) Let 8=1R and Z = {U≤R=3€U}U{4} Prove on R. or disprove that is a topology

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Q: f(x, y, z, w) = (1+x+ sin(z − 2y), ez-w, 2z+tan(w+x²)).

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Q: n is $0. a. The mean is $

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Q: Determine the cube roots of = (1+j3)(2-j)

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Q: Consider the following LP problem: minimize z = -X₁ + X₂-2x3, subject to X₁ + X₂ + X3 ≤6, -X₁ + 2x₂…

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Q: 3. Solve the following integrals: a) f(5x+2)³¹dx

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Q: 1. x² = y + 4 and the x-axis from x = -1 and x = 3.

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Q: Problem #1: A rank two tensor L is given as: 7 10 3 L=L=4 -1 -2 945 (a) Calculate the symmetric (S)…

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Q: Consider the function f(x, y) = 3 Find Duf(4, 3), where u = (a) v=i+j Duf(4, 3) = -1/3-1/10.3 2…

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Q: 3. The ordered pairs, (1, 3), (3, 6), (5, 9) show the cost of theater tickets. For 1 person, the…

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Q: Find the solution of the following IVP: y(t) = dy -2ty=9t²e², y(0) = 5. dt

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Q: Write the row vectors and the column vectors of the matrix. 340 -4 1 1 (a) the row vectors (b) the…

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Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

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Q: Find the volume of the solid generated when the region enclosed by √x, y = 2-x, and y = 0 is…

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