Topic is Mathematics (Calculus)

Please show and explain all steps to solve the question provided below

Please also indicate the formulas used

Thank You!

Consider the function shown below in the attached image.

a) Using elementary calculus find the value of x for which f(x) takes on its absolute maximum and g(x) takes on its absolute minimum.

b) Find the maximum value of f(x) to 5 significant digits, and the minimum value of g(x) to 5 significant digits.

1. Consider the functions 1:60 (1.0001)\": \"33) = (1.0001)m' 9(3) _ (1.0001)m +336\" where we assume that 0 S :L'. (a) Using elementaty calculus nd the value of 9: for which f (3) takes on its absolute maximum and 9(33) takes on its absolute minimum. (b) Find the maximum value of f (as) to 5 signicant digits, and the minimum value of 9(33) to 5 signicant digits