Question

This question is from multivariable calculus assignment.

Are the following statements true or false?

1. The parametric curve with equations x=(3t+4)^2, y=5(3t+4)^(2)-9, for 0<=t<=3 is a line segment.
2. A parameterization of the graph of y=ln(x) for x>0 is given by x=e^t, y=t for -inf
I know the answers are True for both questions but how do you find out?

Thanks!

Answer 1

if x=(3t+4)^2 then we can substitute this in the 2nd equn and we get y=5x-9 which is a straight line