c) Prove that if λ is an eigenvalue of A with eigenvector v, then 2² is an eigenvalue of A² with eigenvector v.

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Q: 3. Find the Fourier series of the following function. -2. -#. <t <._ II. ..f(t)=.. TT ·2. - # < t <…

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A: As per company guidelines i am completing first five rows of the table you can complete rest of rows…

Q: A tank contains 800 liters of fresh water. Brine containing 2.5 N/L of salt enters the tank at 20…

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A: We can solve this using given information

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A: Let us find the matrices L, U and y using  L-U decomposition method on the given system in the next…

Q: 4. (a) (i) Calculate (4 + 6)². (ii) Hence, and without using a calculator, determine all solutions…

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Q: GIVEN: [7 A = 2 340 -71 - 3 1 -1 4 6 010-3 -3 -5

A: Since you have asked multiple questions, we will solve the first question for you  If you want any…

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Q: x1 + 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 + x4 = 6 -x1 + 11x2 - x3 + 3x4 = 25 2x1 - x2 + 10x3 - x4…

A: Use the equations to formulate the iteration equations. Use the iteration equations to make the…

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Q: 15. the estimated mass of the atmosphere, 9.8 x 10^15 tons, to kilograms (1 ton = 2000 lbs)

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Q: The graph represents f(x) and the table shows some values of another quadratic fun sl

A: Given,            and x -4 -3 -2 -1 0 1 2 3 4 g(x) 0 -9 -16 -21 -24 -25 -24 -21 -16

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Q: ADVANCED MATH (No Long Explanation needed. Rate will be given) Choose "DIVERGENT OR CONVERGENT"

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A: We will use diagonalization of matrix and its properties to find required vector

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Q: 1. L-1(1 sls² + 4 1 Ssir 0 sin2t.dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Find the exponential Fourier Series for the function .f..(t) = 2t .-...<.t.<....... -2 -ja m…

A: We find complex (exponential) F.S.(Fourier series) of  f(t)=e2t (-1&lt;t&lt;1)

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Q: 7.22 (a) Prove that if {S,(x)} converges uniformly to S(x) on I then {S,(x)} converges point- wise…

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Q: 9. Use, for example, the method of substitution to find the minimum value of the function f(x, y) =…

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Q: ý X Sin x

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A: Given,        f(x)=5sinx-x-1, x0=1.8

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A: The solution is given as

Q: Find the maximum value M of f(x, y) = x¹y5 for x ≥ 0, y ≥ 0 on the line x +y = 3. (Use symbolic…

A: Solution:-