Assignment:
Q1. Consider the following function:
a) f (x) = 9x2 - x3
b) f (x) = x + 1 /x - 2
c) f (x) = x2/3 (x - 5)
For each of the above functions complete the following table. Show the work to justify your answers below the table.
f(x) is increasing on
f(x) is decreasing on
Rmax of f(x) is at
Rmin of f(x) is at
x-intercept of f(x) is at
y-intercept of f(x) is at
f(x) is C. U. on
f(x) is C. D. on
P. I. of f(x) is at
Q2. Let f(x) = x + sin 2x on [0, 2 pie] find two numbers (c ) that satisfy the conclusion of the Mean Value Theorem. ( note there are four such numbers)
Provide complete and step by step solution for the question and show calculations and use formulas.