MATH 205 Final: MATH 205 KSU Final Exam f05

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

Document Summary

Use the back of the page as sketch paper. For full credit, show your work in detail. Total 200 pg 1 pg2 pg3 pg4 pg5 pg6 pg7 pg8. Find the derivative of y = 2x3 x + Find derivatives of following functions: y = (5 + ex)2, s = te t. Find the equation of the tangent line to the graph of f (x) = (x 1)3 at the point where x = 2. Let f (x) = 3 ln x x. (a. 6pts). Find all critical point(s) of f (x). (b. Find the global maximum and minimum of f (x) over the interval 1 x 5 (show your work. ) The average cost function of a product is a(q) = 0. 01q2 0. 6q + 13: (a 5pts). Find the total cost function c(q). page 3: (b 5pts). What is the lowest average cost: c (5pts. ). X if f (x, y) = 5x2e3y. (b.