MATH 0180 Midterm: MATH 180 Brown Exam m180s10a
Document Summary
Please note the following questions are nowhere near exhaustive of the material covered for the upcoming midterm. The surface of the mountain has the shape of the graph of the function g(x, y) = x2 y2. The climber is currently at the point (2, 0, 4) and a severe storm is on its way. Calculate the unit tangent vector t and principal normal n at a point of this spiral. Deduce that the curvature is 4 2/(1 + 4 2) everywhere. (7) find and classify the critical points of q(x, y) = 4xy 2x4 y2. (8) a rectangular shipping crate has a volume of 60 ft3. Its front and back sides cost /ft2, its top and bottom costs /ft2, and its other two sides costs /ft2.
