You are here:
Calculus/calculus
Advertisement
Question
the fluid H cm in a vessal at the time t is given by
H=16+4t+2t^2-t^3/16
what is the rate which depth is changinging after 4 min?
if the csa is circular of dia 2m; what is the rate of filling after 4 mins?
The rate of change is the value of the derivative. The derivative is found by applying d(x^n)/dx = nx^(n-1) to each term.
I will assume H is for height. To find the change after four minutes, take the derivative and put in 4 for x.
If the surface area is a circle with diameter 2m, then the radius is 2m/2 = 1m. This is the value for r and the surface are is πrē. The derivative should tell us how fast the height is changing, so multiply by the area to get the change in volume.
I'm not sure what is meant by 'csa'.
Related Articles
Answers by Expert:
Scotto
Expertise
Any kind of calculus question you want. 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 25 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 7,500 questions on the PC.
Well over 2,000 of them have been in calculus.
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 from all over the world.
©2012 About.com, a part of The New York Times Company. All rights reserved.