Calculus related rates problem on intergral homework assignment. Help?

Posted on 2015-11-30 06:52:00 in Math by BLAKE

#2 (2 pts) A window in Prof. Xu' ss office is shown in figure (A) below,

y = f ( s )

where f is given by f (s) = 5 sin ((?/32)(s^2 + 16)).



Every evening, before she leaves her office, Prof. Xu draws

the curtain (see figure (B)) over the window.

Every morning she draws the curtain open, starting at time t = 0.

If she draws the curtain at the rate of 0.8 ft / sec,

find the rate at which the area of the exposed part of the window' s glass

is changing when t = 4.



Make sure to label the picture.

(THE GRAPH HAS THE POINTS (0,5) and (4,0) IF YOU CAN'T SEE IMAGE CLEARLY)

Thank you!

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