1. Bell Ringer.
2. Review the Strategy for solving related rates problems
(1) Draw and label a diagram.
(2) Write down what you wish to solve for (express it in terms of a variable). e.g., dh/dt
(3) Identify other variables in the problem.
(4) Write equations that relate the variables.
(5) Use substitution to obtain one equation involving the known quantities.
(6) Take the derivative of each side with respect to time.
(7) Solve for the desired rate.
(8) Make numerical substitutions.
3. Go over Kite Problem from previous day (if not finished):
A kite is at an altitude of 75 feet and moving horizontally at 12 ft/sec. How fast is the string being paid out when the kite is 100 feet away (measured along the string)?
Answer is 7.94 ft/sec
4. Example:
Water runs into an inverted conical tank that is 10 feet high and 10 feet across at a rate of 2 cubic feet per minute. How fast is the water rising when the water level is 6 feet deep?
Solution:
