Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) 5x + 11y 4x + 6y s 13 7x + 4y 3 13 x 2 0, y 2 0. Maximize C = subject to and a. What is the optimal value of x? 0.000 b. What is the optimal value of y? 3.250 c. What is the maximum value of the objective function? Maximum value

Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

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A: The solution is given as

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A: Given differential equation is dy - 2x1-y2dx = 0

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A: Given that fx=e-x (a) To complete the given table.

Q: 3. [MO31] Find the Fourier series of, - 2<x< -1 - 1< x<1 1< x< 2 f (x) = -2 to

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A: Here we use the D'Almbert ratio test.

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Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test,…

A: Note:P-test:The series ∑n=1∞1np is:1) convergent when p&gt;12) divergent when p≤1

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy - 2x1-y2dx = 0

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A: Follow the python code to solve this equations.

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Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

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Q: solve to find y and x, take y(0)=0 and x(0)-1 ý + y- 0.5x = 0.5 * + 0.5x - y = 12 %3D

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Q: QI) Evaluate the integral dx dy using polar coordinate 4-y?

A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

Q: Q1) Evaluate the integral S dy dx using polar coordinate

A: We have convert the given problem into polar coordinates.

Q: solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2, accuracy =0.001

A: Newton-Raphson method :

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A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: Q3) Evaluate triple integral S dz dy dx.

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Q: Q3) Evaluate triple integral , dz dy dx .

A: Given integral is ∫-22∫x24∫04-ydzdydx

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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