math theory questions

Inflection point application

(20 points)

Per usual, I am glad to offer assistance, but the more I help you the less credit you will receive. Have fun! ☺ (if you skip steps and do not show all of your work you will not receive full credit)

(write all answers in pencil!)

Suppose that water is being poured into a vase at a constant rate measured in liters per minute (vase pictured below).

• Graph , the depth of the water against time, .

• Explain (in detail) the concavity, and indicate the inflection points.

Name _________________________________________ points ______

Date: _________________________________________