1. Math
2. Calculus
3. let f represent the rate at which the amount of...

# Question: let f represent the rate at which the amount of...

###### Question details

Let f represent the rate at which the amount of water is Miss Kranz's water tank chnaged in kL per hour in a 12 hour period from 6 am to 6 pm last Saturday. The tank was empty at 6am. Use the graph of f(t), given below, to answer the following.

How much water was in the tank at noon?

Given g(x) = ${\int }_{0}^{x}$f(t) dt, find g(9). what does this answer represent?

During what intervals of time was the water level decreasing?

At what time was the tank the fullest?

Using the graph of f given above, construct a rough sketch of the graph of g and explain how the graphs are related.