MATH 211 Midterm: MATH 211 Amherst F15M211 2803 29Leise
15 Feb 2019
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You may not use books, notes, calculators, cell phones or any other aids. Please turn o all electronic devices, including cell phones. Explain your answers fully, showing all work for full credit. Answers involving sine, cosine or tangent of angles that are multiples of , . Follow directions carefully: if the question tells you to use a particular method or de nition, then you must use it in order to get credit. 4 , : (10 points) evaluate the integral by rst switching the order of integration. Z 1 x ex/ydydx: (10 points) the trajectories of two particles are given by. Explain. (b) find all the intersection points of the two paths: (10 points) we are given two planes x z = 1 and y + 2z = 3. (a) find the acute angle between these two planes. Express as unit vectors. (d) suppose x = g(s, t), y = h(s, t), where g and h are di erentiable functions.
