Question 1
What kind of curve is
r(t) =
(sin t)
i +
(sin t)
j + 2(cos t)
k?
◦ a circular helix
◦ a parabola
◦ a circle
◦ an ellipse (but not a circle)
◦ an oval plane curve that is, however, not an ellipse
Question 2
Describe the curve
r(t) = (sin t)
i + (cos t)
j +
k.
◦ the circle (of radius 1) in which the plane z =
intersects the sphere x
2 + y
2 + z
2 = 4
◦ the circle (of radius
) in which the plane z = 1 intersects the sphere x
2 + y
2 + z
2 = 3
◦ a helix wound around the cylinder x
2 + y
2 = 3
◦ the circle (of radius
) in which the plane z =
intersects the cylinder x
2 + y
2 = 1
◦ a helix wound around the cylinder x
2 + y
2 = 1