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 I need to do a delta-epsilon proof for the limit as {x goes to (5pi)/3} for cosx. I
kind of understand how to do a delta-epsilon proof but not very well versed in
it. i looked at this problem and had no idea. Thanks alot.
Answer Using the Taylor's polynomial to approximate the cos(x) curve around x=2π/3, we get f(x)≈-1/2 + (√3/2)δ.
We know that δ/2<(√3/2)δ≈ε at x=2π/3. What this tells us is that we need δ<2ε as long as δ<1/2 (remember that delta is suppose to be small, almost 0, so it's definitely less than 1/2).
