Question

Practice Problem 1 Fernando JUST Installed a solar panel on his roof. The panel is most effective when me sun is directly overhead, and less effective near sunrise and sunset. By reading his meter every few minutes, Fernando construct a model of his solar panel's efficiency P = max (113kw.sin ).) where P is the power output by the solar panel, measured in kilowatts, and t is the time in hours since 8am. The sine function is negative at night, but the power output stays at o during this time. Use this model to find the solar panel's peak power output. At what time of day does this peak occur?

Answer 1

113 kkl. sin / ↑ H) sin (1) solar power p = NEAM | : t = 0 =) AM 1. ps des 113 cos (W) (+) pie 12 cos () = 13 TT cos (1) To get criticed point pizo -> todos cos (IT) = 0 cor (1)=0 itao Second divoline tell if x=a is a critical point f" (a) co 3) tea low may f" (as so 5 xsa lood min P" CO = 13- Son (P ) {"(?) han sin () p" (C) – Film o Sin (96) = -3.72 co 1444 144 itor is locd max

Popar - P (6) = 113 son (=113 kw +36 =) 14 br = 2.00 pm . : Meximum power ir 113 kw at 2:00pm