I'm working on a lab and part of it requires the calculation of the theoretical spring constant of a spring based on its physical parameters and compare it to the spring constant calculated experimentally. I can calculate k using my experimental data fine, but I can't find anything on...
I've been asked to write a function (.m file) in Matlab to calculate the discrete Fourier transform coefficient for an arbitrary function x. So far this is what I've done:
function a = mydft(x,N)
%MYDFT Calculates the discrete Fourier transform
%usage:
%[a]=mydft(x)
%x=[ x[0] x[1] ... x[N-1] ]...
Find the volume of the following figure, its just one part of a larger problem which is to find the center of gravity of a machine element. I know how to figure everything else out but I'm not sure how to find the volume of this shape so I can finish the problem
No equation was given to find...
For problems two and three there is a hint in what you are dividing the cubic equation by to help you factor it.
x^3+5x^2-12x-16/x+1
x+1 can be factored out of the denominator
(x+1)(ax^2+bx+c)/(x+1)
x+1 cancels out and you are left with just the quadratic to solve.
Whenever you...
Given logistics growth model dp/dt=kp(1-p/N)
p=population
t=time
k=unknown growth coefficient (constant)
N=unknown carrying capacity (constant)
1) Solve for p explicitly
2) Given collected population data for a given state approximate N and k for that state.
This is what I did...
Another way to do it on the calculator is to go to MATH and scroll down to option 9 which reads fnInt(. Select it then enter the function in, make sure you do it carefully, then press the comma button, X, and then the bounds of integration.
So according to how Feldoh set it up you would press...
For the first problem you need to use integration by partial fractions to solve it.
You were on the right track in the second problem changing (tanx)^2 to (secx)^2 - 1 now you just have to integrate each seperatly which you did right except for the integral of (secx)^2 is just tanx
w/k is equal to c (speed of light/electromagnetic waves in vacuum).
the product of mu and epsilon is equivalent to 1/c^2
So to verify you take the second partial of E with respect to x and set it equal to the product of mu, epsilon, and the second partial of E with respect to t?