MATH 233 Final: Math233-Final-Exam-Fall-2017-Solutions
Document Summary
I certify that no unauthorized assistance has been received or given in the completion of this work. Problem 1. (1) find an equation of the tangent plane to the graph of f (x, y) = yex at the point (0, 2). Express the plane in ax + by + cz = d form. (2) find a linear approximation of the function f (x, y) = yex at the point (0, 2). (3) find an approximation of the value 2. 03e0. 1. Problem 2. (a) sketch the vector 2u + 0. 5v. (b) sketch the vector projvu. v v u u (c) let u = h1, 1, 0i and v = h1, 0, 1i. Find the angle between u and v. (d) let u = h1, 1, 0i and v = h1, 0, 1i. Find the area of the parallelogram of sides u and v.
