MATH 211 Midterm: MATH 211 NJIT M211 Exam2S15

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 211
• Professor: All

Document Summary

1. (a) (10 points) a particle traveling in a straight line is located at the point (1, 1, 2) and has speed 2 at time t = 0. 2. (a) (15 points) for the function f (x, y) = py x2 + 3, nd and sketch the domain. Find an equation for and sketch the graph of the level curve of f (x, y) passing through (2, 5). (b) (10 points) find all the second order partial derivatives of g(x, y) = xexy + x2. 3. (a) (10 points) find the directional derivative of f (x, y, z) = cos(xy) + eyz + ln(zx) at p0(1, 0, 1) in the direction of v =< 1, 2, 2 >. 4. (a) (10 points) let f (x, y) = x2 + y2. 2x 4y and the region r be bounded by y = x, y = 0 and x = 1.