MA 227
ยง10.4โ11.1 Quiz #2 score
Name:
21 June 1999
1. For each of the following equations, determine if there is a closely matching graph on the
next page. If there is, report its Letter. If there is not, write No Match.(6 points)
(a) r(u, v) =๎ucos v,usinv, u๎..................
(b) r(u, v) =๎ucos v,usinv, v๎..................
(c) r(u, v) =๎2 cos u, 2 sin u, v๎..................
(d) r(u, v) =๎ucos v,usinv, u2๎.................
2. Find the tangential and normal components of the acceleration vector for a particle in
3-space whose location vector at time tis given by r(t) =๎cos t,sin t, t๎. Explain what
you answers mean. (7 points)
3. On the given set of axes, sketch the level
curves for the function f(x,y) =xy that
correspond the z-levels of -2, -1, 0, 1, and
2. Based on the level curves, describe the
shape of the graph of the surface in 3-space
in a few words. (7 points)
x
y
