AboutScotto Expertise Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.).
I also have answered some questions in
Physics (mass, momentum, falling bodies),
Chemistry (charge, reactions, symbols, molecules), and
Biology.
Experience Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications Maybe not a publication, but I have respond to well oveer 3000 questions on the PC.
That's around 2,000 in basic math and 1,000 in advanced math.
Education/Credentials I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients My past clients have been students at OSU, students at the college in South Seattle,
referals from a company, friends and aquantenances, people from my church, and people like you.
Question A conical tank (with vertex down) is 20 ft across the top and 24 ft deep. Water is flowing in to the tank at a rate of 15 ft^3/min when the height of the water is 10 ft. Find the rate of the change of the height of the water.
Answer The volume of a conical tank is pi*r^2*h/3 where r is the radius and h is the height. We know that the radius is 10/24 of 20. The rate of change of volume is a constant 15.
What needs to be done is to find the formula for volume in terms of height (that's where the 20/24 is used), so take the derivative of of volume in terms of height, and then put in the factors.
What you'll get is a dV/dt equal to something times dh/dt. dV/dt is equal to 15, so solve for dh/dt.
