Consider the parameterization of the unit circle given by x=cos(3t2−t), y=sin(3t2−t) for t in (−[infinity],[infinity]). describe in words and sketch how the circle is traced out, and use this to answer the following questions. (a) when is the parameterization tracing the circle out in a clockwise direction?

625 metres

Step-by-step explanation:

Given the area function expressed as a(w)=-(w-25)^2+625.

The maximum area occurs at when da/dw = 0

da/dw = -2(w-25)

0 = -2(w-25)

-2(w-25) = 0

w - 25  = 0

w = 25

Substitute w = 25 into the modeled equation;

Recall a(w)=-(w-25)^2+625.

a(25)=-(25-25)^2+625

a(25) = 0+625

a(25) = 625

Hence the maximum area possible is 625 metres