MATH-M 211 Midterm: MATH-M211 Term Test 3 2008 Spring

• School: IU
• Department: Mathematics
• Course: MATH-M 211
• Professor: All

Document Summary

Find the maximum and minimum values of f x( ) = ln x x on 1,10. Find the value of c guaranteed by the theorem for on the interval [ 0 , 3 ] . f x( ) = x 3 3x. Show that there is no c that satisfies the mean value theorem for f x( ) = 2x +1. Find the intervals on which each of the following functions is increasing: f x( ) = 6x 2 / 3 f x( ) = 1. 5 x 5 + x 3 + 5x. Find the intervals on which each of the following functions is concave upward: f x( ) = 6x 2 / 3 f x( ) = x 2 + cos x. Be sure to show your reasoning. x +1 ex. 2x lim x 0 x 2 lim x 0 sin x + cos x x 1/x( lim x .