Determine the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16 using the Newton-Raphson method. If initial guesses of x=1 and y = 2 are used, report the approximate relative errors for each variable after 3 iterations.

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Q: Solve by Simplex Method Subject to Max Z = 2x₁ + x₂ 3x₁ + x₂ ≤ 3 x₁ + 3x₂ ≤ 3 X1, X₂ 20

A: Given  Max Z=2x1+x2Subject to 3x1+x2≤3x1+3x2≤3x1,x2≥0

Q: 150x₁ - 15x₂ + 8×3 = 1500 2x₁ + 120x2 - 9x3 = 1200 2x₁-22x₂ + 110x3 = -900

A:

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Q: let A nonsingular matrix, k positive integer then (A5 Select one: k+1 k-1 b. (A,*1

A: As per the policy i can solve only first question for you, fore remaining question you can post them…

Q: 3. Determine whether the following series converges, and if so, find its sum. n? (a) E 22n71-n (b) Σ…

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Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.