Question

In ft/min, is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.) ft/min.

Answer 1

To determine if the height of the pile is increasing when it reaches 12 ft, calculate the derivative of the height function and evaluate it at t = 12.

Step-by-step explanation:

To determine if the height of the pile is increasing when it reaches 12 ft, we need to find the rate of change of the height at that point. We can use the derivative of the height function to calculate this. Let's assume the height of the pile is given by the function h(t), where t is the time in minutes. If the height function is increasing at t = 12, then the derivative of h(t) at t = 12 should be positive. So, calculate the derivative of h(t) with respect to t and evaluate it at t = 12. If the result is positive, then the height of the pile is increasing at that point.