Σ [n(n+1) 2. Prove: Vne Z*, || 2 i=1 WI

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A: We have to find the centroid of the area bounded by curve.

Q: Instruction: Use 7 decimal places. 1. Find the root of f(x) = sin^4 (x) + cos(x) using the NEWTON'S ...

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A: Given: ∑k=1∞(-1)k-11312k-1 We employ ratio test check its convergence, Ratio test L=limn→∞an+1an 1. ...

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Q: Required information NOTE: This is a multi-part question Once an answer is submitted, you will be un...

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A: Given differential equation is x−2ydx+2x+ydy=0.....1 We have to find the general solution of the giv...

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A: If a function f is ring homomorphism from a ring R to another ring R'. Then We knew from the definit...

Q: a, b, and c are in noe 2 t Ox poly nomi al éf codeword with 8 as length using the polynomial dstve (...

A: The given polynomial is x5+0x3+0x2+1x+1

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Q: 2. Supposed x +y = 4, and x* + y* = 6, what is xº +y°? A) 8 в) 6 C) 4 D) 10

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Q: 5. Let a, b e Z and n E Z*. Prove that if a = b(mod n), then gcd(a, n) = gcd(b, n). (Hint: use the f...

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Q: Required information NOTE This is a multi-part question Once an answer is submitted, you will be una...

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Q: Let x, y,p E Z, where p is prime. Prove that x2 – p²y – p + 0. (Hint: you may use without proof that...

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Q: Solve for the zeros of the following functions using the Rational Root Theorem. 1. P(x) = x3 - 4x2 +...

A: Find the zeros of P(x) using Rational Root theorem.

Q: Y''+4y=cosx find solution

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Q: The solution of the ordinary differential equation y" – y" = 0 is:

A: The given ordinary differential equation is:y'''-y''=0The auxiliary equation is:D3-D2=0

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A: Correct ans is option - C

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Q: Solve the following S-L problem y"(x) + Ay(x) = 0, y (0) = 0, y(L) = 0.

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Q: Match a set on the left with an alternate way of describing it on the right. Instructions (2, 4, 6, ...

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Q: 22) Solve the following linear system equations by matrix:

A: Given,              3x+4y=28y+z=16x-5z=7

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Q: 41. A rubber ball is dropped from a height of 15 meters. On each rebound, it rises 2/3 of the height...

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Q: Use the limit comparison test to determine whether the series converges Σ =l V27k2 – 2k 1 The series...

A: Limit Form Comparison Test: Let ∑n=1∞un and  ∑n=1∞vn be two series of positive terms.If limn→∞unvn=l...

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Q: dentity the corect steps rvoved in proving that if A B and Care sets, then AUu -A le -1aIANa- IAn C-...

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Q: Find the general solution of D.E. below. (x - 2y) dx + (2x +y) dy = 0 Show your solutions on a separ...

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Q: Required information NOTE This is a multi-part question Once an answer is submitted, you will be una...

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Q: Find the quotient of (50 + 35i)/(8+5i) Show your solutions on a separate sheet of paper. A 6.4743° B...

A: For a complex number: z=x+iy can be written in the polar form as z=r∠θ, where r=x2+y2, θ=tan-1yx.

Q: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

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