MA 17400 Midterm: Spring 2007, 1
Document Summary
Use the back of the test pages for scrap paper. Points awarded: (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts, (5 pts) 2: find a parametric equation for the tangent line to the curve. 1 t + 1: if l = lim (x,y,z) (0,3,4) x + 5y 5z px2 + y2 + z2. , then: l = 3, l = 2, l = 1, l = 0, the limit does not exist, if f (x, y) = ln(x + 2y2), then the partial derivative fxy equals. 3: find the unit tangent vector t of ~r(t) = (sin(3t))~i + (cos(3t))~j + (4t)~k at any t. 5 cos(3t)~j + 4: t = 3, t = 3 cos(3t)~i 3 sin(3t)~j + 4~k, t = sin(3t)~i cos(3t)~j + 4t~k, t = 1.
