Taxi cab geometry involves shapes on a regular 2d grid (no diagonals, curves etc. See http://taxicabgeometry.altervista.org/ for example.
Hmm! I think you need to check your analysis Guest. You seem to have forgotten the 1 on the right hand side!
A rectangular prism is not necessarily a cube. A cube has all sides of equal length. A rectangular prism can have length, width and height all different.
Laplace Transforms are usually used to solve certain sorts of ordinary differential equations.
If you have an ode you want to solve this way, upload it here and we'll see what we can do.
The following might help:
Use the cosine rule to get the length of the resultant: \(c^2=a^2+b^2-2ab\cos\theta\)
Q3
A. Add up all the frequencies to find the number of trials.
B. Look for the proportions above the smallest frequencies.
C. Probability of success = (sum of proportion*frequency)/(sum of frequency)
These illustrative graphs might help you to picture it.
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The fourth line in my answer above should say: Use S and M in the first equation.
Fair enough!
I didn't notice it had been asked a little earlier. Annoying when this happens!