A light is suspended at a height h above the floor. The illumination at the point P is inversely proportional to the square of the distance from the point P to the light and directly proportional to the cosine of the angle theta. (a) How far from the floor should the light be to maximize the illumination at the point P? r = distance from Light to P. h = distance from light to floor below. There are 10 meters from point P to a point O (spot on floor directly below light) (b) State the function you need to maximize or minimize and what the interval of admissible values is for the independent variable. (c) Verify your answers by testing all relevent critical points and the behavior at the ends of the interval.
2006-11-05
19:38:01
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2 answers
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asked by
numbergirl
1
in
Science & Mathematics
➔ Mathematics