Prove the statement: For all integers a, b, and c, if a² + b² =

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A: We use rules of logic.

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Q: -π∫π  ecosx dx to the integral value; a) With the Trapezoid Rule. b) Make an approximation with…

A: given function ∫-ππecosxdx (a) integrate with Trapezoidal rule (b) make an approximation with…

Q: 4.Solve the pair of simultaneous equations dx =xy-t, x(0)=1 dt dy = x+t, y(0) = 0 dt From t=0 to…

A: You don't mention any method by which we can solve, so i use simple Iteration method Euler's Method

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

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Q: 1 Evaluate Inverse Matrix A-¹ = -1 -2 1 2 2 1 1 3

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Q: 1. If a= (-8, 2) and b=(-1,-7) the projection b on to a =......... 2. The inverse Laplace Transforms…

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Q: - The multiplication error is lx*y* - xyl ture false O

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Q: (1) 1 = (2) 1 = √ z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) zdz, C:z(t) = t² + it (0 ≤ t ≤ 1)

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

A: Given LPP is: Minimize P = 5x1 - 10x2 + x3Subject to:     x1 - x2 + x3 <= 150   5x1 + x2 + 2x3…

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Q: Year 1955 1958 1960 1961 1962 1965 1968 1975 1980 1986 1990 Rabbit population 650 2180…

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Q: Q4. Check to see if the following integrals converges. 1 Σ (b) Σ ek k=1 k (c) Στ k=s (k + 1)(In(k +…

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Q: Use two truth tables to show that each of the propositions are equivalent.  f. (p /\ q) /\ r and p…

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Q: (b) Prove that the set S = {x EQ: √2<x<√3} is closed and bounded in (Q.1-1), but not compact in…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t − 4) –…

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Q: Find f(3.67) from the next table X 3.50 3.55 3.60 3.653 3.70 Y=f(x) 33.115 34.813 36.593 38.475…

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Q: one

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Q: 13) Consider the solid Q bounded by the surfaces S₁: z=1-y², S₂: z=x, S3: z=4-x-y, S₁: y=0, S₁: z=0…

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Q: 1 Use your given sequences to answer the questions Series A 1, -1, -3, -5, -7 ... Series B 4, 2, 1,…

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Q: Show that B is the inverse of A. 9 6 18 A = L 1 1 3 B -1 -1 -2 STEP 1: Find AB. AB = STEP 2: Find…

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