MATH 205 Final: MATH 205 KSU Final Exam s05

• 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. Suppose that the interest of a savings account is compounded continuously. A company"s management team estimates that at the current level of producing and selling. 150 units of certain goods weekly, the weekly total cost and marginal cost are and per unit respectively, and the total revenue and marginal revenue are , 200 and per unit respectively. Suppose the company raises its weekly production and sales to 160 units per week. Estimate the following quantities with the new production and sales level. (a)(7 pts). Find the derivatives of the following functions (a)(5 pts). y = ex. 1 + x2 . (b)(5 pts). f (x) = ln(1 + x2). (c)(5 pts). f (t) = t2e5t.