Prove: Use mathematical induction to prove that 5" -4n-1 is divisible by 16 for all ne N.

Q: Find the F. T of the following Signals . x(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(¹)

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Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

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A: Given system x1'=2x1+x2-x3x2'=-4x1-3x2-x3x3'=4x1+4x2+2x3 We can write it as…

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Q: 1. Consider the system of equations 421 +172 823 = -307 1+ 422-42x3 = -73 -321-16x2 + 723 = 286 (a)…

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Q: Find. For the ectre

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Q: Which of the following wave functions is the solution of O E(x, t) = f(x− vt) + f[2(x − vt)] O {(x,…

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Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²¹)+rect(²¹)

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Q: 3/2 (1 +i)"

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

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Q: Бxї Zet (x, г) бе space, then Co-countable тебя xis not Тз-брасе

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Q: f(101) f'(101) 100 If f(x)= II (x − n)n(101-n), then find n=1

A: Properties of logarithmic lnxy=lnx+lny ln ab=blna

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A: I will solve first questionbif you want remainibgvthen repost it.

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Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

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Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: Suppose that o(r) is a periodic solution of the following equation in R with period 27. TER, 8 2y"…

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Q: Prove that if a polynomial function p(x)= a + ax + ₂x² is zero for x=-1, x-0, and x-1, then a - a₂…

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Q: Find the F. T of the following Signals. X(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(¹¹) - er

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