Prove that the sum from i=1 to n of 1/(4i2-1)= n/(2n+1) for n=1,2,3 by (b) Partial fractions and telescoping sum.

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A: We solve this LP using graphical method.

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Q: 5-18 Consider the linear program max 4y1 + 5y2 s.t. -y1 + y2 ≤ 4 y1 - y2 ≤ 10 y1, y2  0 (a) Show…

A: As per guidelines, I can do only first question with all its subparts

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Q: 3. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: Find and sketch the domain of the function. f(x. y. :) -√4 - x² + √√9-y² + √T-

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Q: Solve the following system of linear equations: -5x2-10x3 = 20 5x2+10x3 = -15 x7+2x₂+5x3 = 1 If the…

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Q: 2. Find x, y and z using Gaussian elimination: x + 2y + 3z = 17 3x + 2y + z = 11 x − 5y + z = −5

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Q: How many 8-digit binary strings end in 1 or have exactly four 1's?

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Q: 3. Consider the polynomial p(z) = 2³ +2²+z+1. (a) Verify that i is a root of p. (b) [ACS] Find the…

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Q: the Varde of one share on the 101st day since the company went public. 29. Marginal Cost Analysis…

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Q: p=T, q = T, and r = F. Select the correct truth values for the two propositions:(qvr)→-p-r>>(p^q)…

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Q: Find all integers such that 1307|r²-5. You may use x (without proof) that 1307 is prime.

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Q: 2. (a) What is the negation of [Por Q]? (b) What is the negation of [P &-Q]? (c) Using the rules of…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

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Q: Consider sec(7x+y)=e^7x Determine the derivative of y with respect to x. y' =

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Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

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Q: Question 3 For what natural numbers n can the following expression: 1+2+3+ ... + n be a prime…

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Q: c) 3.5-1 -2.5 cm) 3 X WRONG y-y₁= m(x-x₁) y- 1 = 2.5/3 ↓- y=1=0.83(x-3) 9:/= 0.83x-2.5 +1 y=0.83€…

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Q: 4) p(x) = (x-2)²(x+3) x²-x-4+x+3

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Q: Given the following matrix A, find an invertible matrix UI so that A is equal to UR, when R is the…

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