Answer to Question #240893 in Math for lemhs

Question

a. Solve the equation x³+x²−16x+ 20 = 0 by Cardan’s method.

b. Locate the root of f(x) = x¹⁰ −1 between 0 and 1.3 using the Bisection method correct to three decimal places.

c. Prove that the convergence order of the Secant method is 1.618.

d. Use the iteration method to find the root of the equation e^x = 5x correct to three decimal places.

e. The bacteria concentration in reservoirs as C = 4e^−2t+e^−0.1t, using Newton Raphson method, calculate the time required for the bacteria concentration to be 0.5. Correct up to 7 decimal places.