a) In Matlab, use the function bisect in the file bisect.m to calculate roots of the following functions:

f1(x) = x^2 5*cosx/3 in [0.5, 4] with max = 0.5 106

f2(x) = tanx/2 x in [1, 3] with max = 0.5 104

f3(x) = 50x*lnx 3x^2 in [50, 100] with max = 0.5 103

Determine each root with a maximum absolute error max and print the intermediate results.

(b) Use Matlabs zero function to solve the equations from (a) with a high precision. Compare the results.