MATH 2450 Midterm: TTU MATH 2450 Math2450_2012Fall

• School: Texas Tech University
• Department: Mathematics
• Course: MATH 2450
• Professor: All

Document Summary

Copyright of the department of mathematics and statistics, texas tech university, 2012. The use of calculator, formula sheet and/or any other electronic device is not allowed. 2 cos(2t) + t3 1 : < et + 1, 2 cos(2t) + 3, 2t 1 > 3: < 2, 1, 1 , given f (x, y) = cos(xy) where x = u2 + v2 and y = u2 v2. Express the result in terms of x, y, u, and v. not substitute for x and y!) to nd. = sin(xy)(y x)2v: the function is not di erentiable e) = sin(xy)(2yu 2xv: let f (x, y) = cos(x + 3y), p = ( /2, /3) and v = 3i + 4j. Find the directional derivative of f at p in the direction of v: 9. I = z 1 y f (x, y) dxdy. 0 z x: z 1 y z 1, z 1.