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.
I'm having trouble picturing a word problem and thus having trouble discerning what the appropriate formula for its area should be. The problem reads: "A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft3/min, how fast is the water level rising when the water is 6 inches deep?"
I've read on a few answer boards that I'm to use the formula 1/2blw to get the area of the trough but I can't see how that would be...could you please explain this to me? Thank you very much in advance!
Stu
Answer The width is 3 at the top and 0 at the bottom. The have a height of 1 foot. Using these two pieces of information, the width of the water is 3x where x is the depth that has been filled. The trough is 10 feet long, and that's constant.
The surface area when the water is 6 inches deep (0.5 feet) is then 10*0.5*3 = 15. Water is flowing in is at 12 ft^3/min.
