MATH 205 Midterm: MATH 205 KSU Test 3f99

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. For the function f (x) = 3x4 4x3 + 6, do the following: (a). Find all critical points of the function f (x) (show your work). (b). At each critical point, determine whether the function f (x) has a relative maximum or minimum or neither. For f (x) = 2x ln x, and 0. 1 x 4, nd the value(s) of x for which (a) f (x) has a local maximum or local minimum. Indicate which ones are maxima and which are minima. (b) f (x) has a global maximum or local minimum. Indicate which ones are maxima and which are minima. Find the quantity q which will maximize pro t if the total revenue and total cost (in dollars) are given by where 0 q 1000 units.