For the following curves are defined: Curve M: Curve N: Curve O: Rank the three…

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

For

-\pi\le t\le \pi

the following curves are defined: Curve M:

x=t,\;y=\sin t

Curve N:

x=t,\;y=2\sin t

Curve O:

x=t,\;y=0

Rank the three curves from shortest to longest over this interval and justify your ranking in one or two sentences.