1. ## curves

how do you sketch the curve r(t) = (2t -1 , t, t+3)?

thanks!

2. Hello, alexandrabel90!

How do you sketch the curve: . $r(t) \:=\: (2t -1 , t, t+3)$
First, get some 3-dimensional graph paper . . .

Since the functions are linear, the graph is a straight line.

Plot any two points: . $\begin{array}{ccc}
r(1) &=& (1, 1, 4) \\

r(2) &=& (3,2,5)\end{array}$
. . and draw the line.