Chapter 12.1, Problem 90E

(a)

To determine

To match: The equation $x=t^2-2,y=t^3-t$ with its graph without using a computer or graphing calculator.

(b)

To determine

To match: The equation $x=\cos \left(t+\sin 50t\right),y=\sin \left(t+\cos 50t\right)$ with its graph without using a computer or graphing calculator.

(c)

To determine

To match: The equation $x=t+\cos 2t,y=t-\sin 4t$ with its graph without using a computer or graphing calculator.

(d)

To determine

To match: The equation $x=2\cos t+\cos 20t,y=2\sin t+\sin 20t$ with its graph without using a computer or graphing calculator.