Solutions to Homework Assignment 9
5. Notice that y = (x - 1)2 , so this is the parabola y = x2 shifted right 1 unit. r (t) =< 1, 2t > . At t = 1, this is < 1, 2 > . The graphs are below. The position
Solutions to Homework Assignment 8
3. lim t ln t = lim + +
t0 t0
9. Notice that y 2 + z 2 = 1, so the curve lies on that cylinder. This will be a helix revolving around the x-axis every units (inste
Solutions to Homework Assignment 6
MATH 249-01 and -02 Section 12.7, Page 842 3, 7, 9, 10, 15, 20, 31-36, 37-47 odd, 48, 49, 53, 56 3. Find the graph in the back of the book. I will express the point
Solutions to Homework Assignment 7
1. (a) It represents a parabola. (b) It represents a vertical parabolic cylinder. (c) This is also a parabolic cylinder with its vertex along the x-axis. 3. This is
Solutions to Homework Assignment 10
10
1. r (t) =< 2 cos t, 5, -2 sin t >, so L = 29(10 - (-10) = 20 29. 3. r (t) =< 2, et , -e-t >, so
(2 cos t)2 + 52 + (-2 sin t)2 dt =
10 -10
29 dt =
10