MATH 255 Midterm: MATH 255 Amherst F11m255t2
15 Feb 2019
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You may use class notes, homework, handouts, the text, any multivariable calculus text, the web site mentioned in part iii, and nothing else. Don"t discuss the exam with other class members, but you should feel free to consult with me about any questions you might have. Hints are available on some of the problems. If you no longer have the text you used for multivariable calculus, you can use stewart"s. Multivariable calculus, which is on reserve in the keefe science library in the merrill. [15 points] in class, we showed that the tractrix y = f (x), 0 < x 1, can be. +p1 x2: show that the tractix can be parametrized by. Curvature: [15 points] let f (x, y) be a smooth function de ned on u r2. Its graph z = f (x, y) is a surface in r3 which can be parametrized by. X(x, y) = (x, y, f (x, y)) for (x, y) u.
