MATH 253 Study Guide - Midterm Guide: Multivariable Calculus, Ellipse, Directional Derivative
Document Summary
Be sure that this examination has 10 pages. Write your name on top of each page. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. [20pt] for the following questions, ll in the answers in the boxes. 1. shown and no partial credit will be given. (a) find the angle between the two vectors v1 = (1, 0, 1) and v2 = (0, 1, 1). Answer = (b) find the directional derivative of the function f (x, y) = ex+y along the direction of the vector v = ( 1. 2 ) at x = 0, y = 1. Answer = (c) find the tangent plane to the surface x(cos y)ez = 1 at the point (1, 0, 0). Page 3 out of 10: (continue) (d) what is. Answer = (e) if x(u, v) = u2 v2 and y(u, v) = 2uv.
