Question

The intensity of a light source at a distance is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. Two light sources, one five times as strong as the other, are 9 m apart. At what point on the line segment joining the sources is the intensity the weakest? Write an equation representing the intensity, I, at a distance, x, from the weaker lightbulb, and with k as the strength of the light source.

I=?

The interval of interest of the objective function is?

The distance is ? m from the weaker light source.

of a light source at a distance is directly proportional to the strength of the source and inversely proportional to the square of the distance trom the source Two light sources, one ive imes as strong as the other ae 9 m apart. At what point on the ine segment joining the sources is the intensity the weakest? write an equation representing he intensity L at a dstanco, х, from the weaker Ightee, and with k as the strength of the Ight source (Type an expression) The interval of interest of the objective function is Simplity your answer. Type your answe in interval notation) The distance is m from the weaker light source (Type an exact answer using radicals as needed)

Answer 1

SalN Sk 32 test SIren I s illuminahm 2. l +(5)% S 8 111 Cy) and >0 Honc distanco 33m