MAC 2313 Midterm: MAC 2313 FIU Exam 118k
15 Feb 2019
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Show all your work and reasoning for maximum credit. Do not use a calculator, book, or personal paper. You may ask about ambiguous questions or for extra paper. Hand in any extra paper you use with your exam. 3x + y + z = 5 and x y + 5z = 2: the equation r = 6 cos is given in cylindrical coordinates. Express this in rectangular coordinates and sketch the graph. If you cannot get started easily, try multiplying both sides of the given equation by some variable, such as x or r: determine whether r(t) = 3 sin ti 2tj is continuous at t = 0. State what kind of conic section the trace is [is it a parabola, etc : [20 pts] answer true or false. Assume that u, v (etc) are arbitrary vectors in r3 unless stated otherwise. If u v then (5u + v) (u + 2v) = 5||u||2 + 2||v||2.
