MATH 211 Midterm: MATH 211 Amherst F15M211 2804 29Naqvi

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 211
• Professor: All

Document Summary

No notes, textbooks, calculators or outside help may be used on this exam: (10 points) the velocity of a particle moving through space is given by the vector function. Find the tangential and normal components of the acceleration at t = 2: (10 points) consider two planes: p1 given by x z = 1, and p2 given by y + 2z = 3. Set up (but do not compute) integrals to compute the mass of e using: (a) cylindrical coordinates. (b) spherical coordinates. 1: (5 points) evaluate the integral by switching the order of integration. 2 , 2). (c) in what direction from the point q = ( 1. 2 , 2) is the directional derivative equal to 0? (d) suppose x = g(s, t), y = h(s, t), where g and h are di erentiable functions. T at (s, t) = (1, 2) given the following information. (note that you do.