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- 2. Approximate the root of the following function first using the bisection method and then using method of falsi position with the stopping condition |(x)| <8 x10^-4 .?(x) = x^3+2x^2+10x-20, [1, 2] .Which method converges faster to the solution?Find the maximum error if the approximation 1 + x + x2/2 is used to approximate ex on the interval [0,2] - using Taylor's inequality.Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematics
- How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t - 1/t) with the solution -1/2?Approximate the root of the equation f(x) = x^3 - x - 1 using 10 iterations on Bisection Method with range from a = 1 and b = 3.What can be said about Taylor approximations with support 0 of even and odd functions respectively?
- Solve the approximate root of f(x) = x^5 - 3 using at least 5 iterations on Bisection Method with range from a = 0 and b = 10.5. Carry out the first three iterations by using bisection method to find the root of e^x−3x =0 on (0, 1).Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of x = - 0.38. Round off your final answer to nine decimal places but do not round off on preliminary calculations.
- Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of x = - 0.38. Round off your final answer to nine decimal places but do not round off on preliminary calculations.Solve for A and B so that F(x) has a limit at both x=2 and x=4Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.