Suppose a lightbulb is slowly dimming, and the intensity of its light is
decreasing according to dl/dt = 0.5t - 3 candela per second. Determine the
exact net change in the light's intensity during the first minute.

Question

Suppose a lightbulb is slowly dimming, and the intensity of its light is
decreasing according to dl/dt = 0.5t - 3 candela per second. Determine the
exact net change in the light's intensity during the first minute.

sid1729 · Answer

This question will use definite integration. We know the rate of change of intensity, and we want to know the net change in intensity. We should integrate dl/dt from t=0 to t=60 seconds