MATH 205 Midterm: MATH 205 KSU Test 3s11 sol

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

Document Summary

Use the back page as a sketch paper. For full credit, show your work in detail. Total: 100 #1 #2 #3 #4 #5 #6 #7 #8. 1 (13pts), the function f (x, y) is given by following table. a. (2pts). Estimate fx(10, 160) and fy(10, 160). y \ x. Estimate f (15, 170) by using above results and the local linear approximation: Sketch a contour diagram for the function f (x, y) = 2x y. y. 3 q q q q q q q q. The contour diagram of a function is given below. Estimate the partial derivatives of fx(3, 3) and fy(3, 3). page 2: (15pts). Find the partial derivatives fx, fy of following functions: 1. (8pts). f (x, y) = 5x2y 3xy3, 2. (7pts). f (x, y) = 10x2e3y. Find the partial derivatives fx, fy, fxx, fxy of follwoing functions: 1. (7pts). f (x, y) = x2 2xy + y2. page 3, 2. (6pts). f (x, y) =