2. (a) Why do you need Monte Carlo integration? (b) Generate 5 random values from uniform (0,1) using a =6, c-1, m-40. Start with seed Xo=20 and hence evaluate the Monte Carlo integration of Compare the Monte Carlo integration value with actual value of this integration.

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A: Let's find power series.

Q: Solution: y1 = 2.513274123; y2 = 1.814517822; y3 = 1.216364496

A: Here, initial condition is given at x = 1.Therefore, start with x0 = 1.Given equation is:

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A:

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A:

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Q: Solution: y1 = 1.200000000; y2 =2.085625000; y3 = 3.079099746

A: Here, initial condition is given at x = 2.Therefore, start with x0 = 2.Given equation is:

Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

A:

Q: Solution: y1 = 1.450000000; y2= 2:085625000; y3 = 3:079099746

A: Here, initial condition is given at x = 2.Therefore, start with x0 = 2.Given equation is:

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A: We know that,

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Q: Reverse the order of integration 3 Lütfen birini seçin: a. 1 √3 √316 b. 1 So C. e d. 2 e. √3x 2² v²…

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Q: 0. Use the Power Rule of integration to simplify (13 - 213) dt = [ev3 dt - L213 d. t1/3 dt t2/3 dt.…

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A: Integration

Q: a partial differential equation can have more than one independent variable. true or false?

A:

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A: (a) why do you need monte carlo integration? we can use this technique for any function over any…

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A:

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A: Runga-Kutta Method of order 4:

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Q: Solve the DE using Linear First Oder Method: y + ya2 = 25. if y(0) = 1 %3D

A: Introduction: A first-order ordinary differential equation is one in which all derivatives with…

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A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

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A: Consider the equation

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Q: 16-30 INTEGRATION Integrate by a suitable method: 16. 4z3 + 2z from -i to 2 + i along any path

A: Given function is f(z) = 4z3 + 2z