MATH 205 Midterm: MATH 205 KSU Test 3f07

• 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 may use a calculator only for evaluations of values of algebraic formulae. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8. Suppose that a function f (x, y) satis es f (10, 20) = 12. 8, fx(10, 20) = 2, and fy(10, 20) = 5. For the function f (x, y) = x (a)(6 points) fx(x, y); For the function f (x, y) = y ln x, nd (a)(4 points) fxx(x, y); (b)(4 points) fxy(x, y); (b)(4 points) fyy(x, y). An ice cream company nds that at price of . 00, demand is 4000 units. sh. 25 decrease in price, demand increases by 200 units. (a)(5 points) find the demand q as a linear function of p, the price. (b)(8 points) find the elasticity of demand e when the price is . 00.