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 \([-1,1]\).

Last modified: Thu Oct 19 18:02:07 UTC 2017