ENGR 251 Midterm: ENGR 251 Midterm 2005 Winter
Document Summary
Emat 233 - second midterm exam - march 11, 2005. You may not use notes, books, calculators or any other materials. Write clearly and neatly and show all your work in order to receive full marks. You do not need to simplify or approximate numerical answers. Find the maximum value of the directional derivative at this point. (iii) find an equation of the tangent plane to the graph of the function at the point (1, 1). Consider a force given by the vector eld. ~ f = f. (iii) find the work done by the force in moving a particle along the line from ( , 0, 0) to ( , 2, 1). 2 ), and the line segment from ( 1. 2 ) to (0, 0), traversed in the counterclockwise direction. Zc x2dy dx. (ii) let r be the region bounded by the curve c, namely a 1.
