1. Match each graph to its equation:
2
(d) f (x, y) = cos(x2 )e−0.1(x +y
−1
(e) f (x, y) =
1 + 9x2 + 9y 2
(a) f (x, y) = |x| + |y|
(b) f (x, y) = cos(x − y)
(c) f (x, y) =
−1
1 + 9x2 + y 2
2)
(f) f (x, y) = cos(x2 + y 2 )e−0.1(x
1
2 +y 2 )
2. Match each graph to its equation:
2 −y 2
(a) f (x, y) = x2 + y
(c) f (x, y) = sin(4x)e−x
(b) f (x, y) = x2 + 4y 2
(d) f (x, y) = sin(4xy)e−x
2
2 −y 2
3. Match each graph to its equation:
(a) f (x, y) = cos(x2 + y 2 )
(c) f (x, y) = ln(x2 + y 2 )
(b) f (x, y) = cos(ex + ey )
(d) f (x, y) = e−xy
3
4. Match each graph to its equation:
(a) f (x, y) = x2 + 3x7
(d) f (x, y) = cos(x2 + y 2 )
(b) f (x, y) = x2 − y 3
(e) f (x, y) = sin(x2 + y 2 )
(c) f (x, y) = cos2 x + y 2
(f) f (x, y) = e−x
4
2 −y 2
5. Match each graph to its equation:
4
2x2 + 3y 2 + 1
(e) f (x, y) = x sin y
(a) f (x, y) = sin(xy)
p
(b) f (x, y) = sin( x2 + y 2 )
4
(c) f (x, y) = 2
2x + 3y 2 − 1
(d) f (x, y) =
(f) f (x, y) = sin(x/y)
5
1. Match each contour graph to its equation:
(a) f (x, y) = xy
(b) f (x, y) = exy
(c) f (x, y) = sin(xy)
6
1. Match each graph to its parametrization:
(a) r(u, v) = hu, cos v, sin vi
(b) r(u, v) = hu, u + v, vi
(c) r(u, v) = hu, v 3 , vi
(d) r(u, v) = hcos u sin v, 3 cos u sin v, cos vi
(e) r(u, v) = hu, u(2 + cos v), u(2 + sin v)i
7
2. Match each graph to its parametrization:
(a) x = u cos v, y = u sin v, z = v 2
(c) x = v, y = u cos v, z = u sin v
(b) x = u, y = u cos v, z = u sin v
8
3. Match each graph to its parametrization:
(a) x = u2 , y = u + v, z = v 2
(c) x = u, y = u + v, z = v 2
(b) x = u2 , y = u + v, z = v
9