If the height of a water tank is described by the function $$ h(t) = 10e^{-0.1t} $$, what does the derivative $$ h'(t) $$ indicate about the water level over time?

Question

UpStudy AI · Accepted Answer

The derivative $$ h'(t) = -e^{-0.1t} $$ shows that the water level in the tank is decreasing over time, and the rate of decrease slows down as time goes on.

If the height of a water tank is described by the function \( h(t) = 10e^{-0.1t} \), what does the derivative \( h'(t) \) indicate about the water level over time?

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

If the height of a water tank is described by the function \( h(t) = 10e^{-0.1t} \), what does the derivative \( h'(t) \) indicate about the water level over time?

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Related Questions