Describe the curve r(t) = (sin t) i + (cos t) j + k.

[nautica902]

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  x² + y² + z² = 4
◦ the circle (of radius ) in which the plane  z = 1  intersects the sphere  x² + y² + z² = 3
◦ a helix wound around the cylinder  x² + y² =  3
◦ the circle (of radius ) in which the plane  z =  intersects the cylinder  x² + y² = 1
◦ a helix wound around the cylinder  x² + y² = 1

[ryansturges]

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[nautica902]

Thanks for the timely response, appreciate it

[matt95]

Wow, this really help