MATH 211 Final: MATH 211 Amherst F13M211 2802D 27Ambroise 29Final

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

Document Summary

Name: no materials are allowed except writing utencil and a single page cheat sheet, please write all of your work on the exam pages. If you write a solution on the back of a page please indicate clearly where i should look to nd your solution: you may leave numerical expressions unsimpli ed. 3xy3 x4 + 2y4: the temperature at any point (x, y) in the plane is given by a function t (x, y). ~r(t) = h4t2 t, 2 sin2( t) 1i. Suppose that t (0, 0) = h3, 1i is the gradient of the temperature at the point (0, 0). You do not need to evaluate the integral. The moment of inertia of an object is the rotational analogue of mass it is a measurement of how much the object resists rotation. The moment of inertia about the z axis is de ned as the triple integral.