Consider the function on the interval (0, 2π). f(x) = sin x / 8 + (cos x)^2
a) Find the open intervals on which the function is increasing or decreasing
b) Apply the First Derivative Test to identify the relative extrema. Relative Max and Min

In the equations, a and b represent the price per night for a room in hotel a and hotel b, respectively, w weeks after september 1 last autumn. what was the price per night in hotel a when it was equal to the price per night in hotel b? a = 240 − 20w b = 320 − 30w

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

Jordan got 27 out of 90 correct on his test . what fraction of the marks did her get correct