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- Let ∫51ex2dx (image) (a) Calculate by the Repeated Trapezoidal Rule and by the repeated Repeated Simpson's Rule, using 4 and 6 divisions of the range [1, 5], respectively. (b) Estimate the error made in the two approximations made above for the value of ∫51ex2dx (image)Apply Newton’s Method using the given initial guess, and explain why the method fails. y = 2x3 − 6x2 + 6x − 1, x1 = 1How large should we take n to guarantee the trapezoidal method
- Use the Euler method to estimate x(.2) where x is the solution to the IVP: x’=2x+4t, x(0)=1 Use a steep size of h=.1In Exercises 16–19, approximate the root specified to three dec- imal places using Newton’s Method. Use a plot to choose an initial guess. 17. Negative root of f(x) = x5 − 20x + 10Is it true that using two methods answer will varies? Use Bernoulli in the first method. Show the complete solution
- For the equation uxx + uyy = 0, write the necessary equations which can be used to solve the equation depending on the five point formula discussed in finite difference method, for the following mesh with uniform spacing and with boundary conditions as shown below in the figure.Which of the following method has higher order? Composite Trapezoid Rule OR Composite Simpson's RuleThe Ideal Gas Law states that PV = nRT where P is pressure, V is volume, n is the number of moles of gas, R is a fixed constant (the gas constant), and T is absolute temperature. Show that
- i need perfect solution of e , f , g , h partunder ideal conditions, a service bay at fast lube can save 6 cars per hour. the effective capacity and efficiency of the fast lube service bay are known to be 5.5 and 0.880, respectively. what is the minimum number of service bays fast lube needs to achieve an anticipated servicing of 200 cars per 8 hour day.Use Newton's method with initial guess x1 = 1 to compute two successive approximations of the irrational number (square root of 3).