1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Density Functions - Oceanography

  1. Feb 17, 2010 #1
    1. The problem statement, all variables and given/known data

    http://img39.imageshack.us/img39/3143/calcquiz3.jpg [Broken]

    The writing says: A(x)=int(p(y),y=0..x) <-- Maple format

    2. Relevant equations


    3. The attempt at a solution

    So I did not attend class the day we went over this and he only went over it that day. I honestly have no idea how to even go about doing it, but here's a stab in the dark:

    I believe the "water column" he is talking about is a rectangular prism with length=1 m, width=1 m, and height=50 m.

    The density function is p(x)=10 cod per cubic meter (where p is "rho" and x is an area?)

    a. Total number of cod in water column- Wouldn't this be the area of the column * 10?

    So, A=LWH=50 m^3. 50*10=500 cod. Also, this is the same answer I would get if I took the Area under the curve p(x)=10 from x=0..10.

    For the other functions, would I take the area under the curve as well?

    b. Depth where fish density is largest - Would this be the maximum point on the graph? If so, the first one would be 0<x<50 because the density of fish is constant.

    c. Number of cod between 20 and 30 meters - Simply the area under the curve from 20 to 30?

    Any help is much appreciated!

    Last edited by a moderator: May 4, 2017
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted