MATH 215 Midterm: exam1w14sol
Document Summary
W2014, math 215 calculus iii, exam 1, 02/13/2014: (10 points) suppose that the temperature at a point (x, y, z) in space is given by. Thus, we need to compute the directional derivative of t at (2, 1, 0) in the direction of the vector u = 1 14h1, 2, 3i. Dut (2, 1, 0) = t (2, 1, 0) u = 100e 6h 4, 4, 0i . Describe the direction using a unit vector. (solution) this is the opposite direction of t (2, 1, 0). 2h1, 1, 0i: (10 points) a ball is thrown eastward into the air from the origin (in the direction of the positive x-axis) with the initial velocity 50i + 80k. The speed is measured in feet per second. In addition to the gravity which gives rise to the acceleration 32k f t/s2, the southward wind also generates acceleration 4j f t/s2.
