Question

A curve is given by the parametric equations x=f(t), y=g(t) (a) How do you sketch the curve?

Answer 1

To sketch a curve given by parametric equations x=f(t) and y=g(t), you need to select different values of t and substitute them into the equations to get corresponding values of x and y. Plot these points on a coordinate plane and connect them to form a curve.

Step-by-step explanation:

When sketching a curve given by parametric equations x=f(t) and y=g(t), you can follow these steps:

1. Select different values of t and substitute them into the equations to get corresponding values of x and y. For example, if t=0, calculate x=f(0) and y=g(0).
2. Plot the calculated points (x,y) on a coordinate plane.
3. Connect the plotted points to form a smooth curve.