What is the equation of the rectangle under the curve? The curve is 3cos(x).
The Area of the rectangle is
Are we supposed to find the value of x that maximizes the area?
Thus,
Setting this equal to zero, we get that . Using your calculator, we see that this is the case for
We take the positive value.
Thus, the area of the rectangle is .
I believe this is the answer.
Hope that this makes sense to you!
--Chris