MATH 0240 Midterm: MATH 240 Midterm 1-57
Document Summary
This test consists of 10 problems, each worth 10 points. All work must be shown in order to get credit. Please write legibly and explain your logic by words whenever appropriate. U =< 1, 1, 0 >, v =< 0, 1, 1 > Find the directional derivative of f (x, y, z) = x2 + xy + 2yz + e2xz at the point (2, 1, 0) in the direction of the vector ~v =< 2, 1, 2 > Find the length of the curve r(t) =< cos t, sin t, t >, Find all points on the curve r(t) = (2t, t2, t3), where the tangent line is parallel to the plane. Find the unit normal vector at the point (1, 2. 3 , 3) for the curve r(t) =< t2, 2. Find the curvature at the point (0, 0, 1) of the curve r(t) =< t, t2, et > .
