# MATH 2301-102 and -103 Fall 2017 Calculus I Recitation 8 Week 9

See the coversheet for instructions and the point value of each problem.

1. For the function $$\displaystyle f(x)=3x^4-4x^3-12x^2+1$$,
1. find all its critical numbers and
2. find its absolute maximum and minimum values of on the interval $$[-2,3]$$.
2. For the function $$\displaystyle f(t)=t\sqrt{4-t^2}$$,
1. find all its critical numbers and
2. find its absolute maximum and minimum values of on the interval $$[-1,2]$$.
3. For the function $$\displaystyle f(t)=2\cos(t)+\sin(2t)$$,
1. find all its critical numbers and
2. find its absolute maximum and minimum values of on the interval $$[0,\pi/2]$$.
4. For the function $$\displaystyle f(x)=\ln(x^2+x+1)$$,
1. find all its critical numbers and
2. find its absolute maximum and minimum values of on the interval $$[-1,1]$$.