Homework Statement
I'm told to find the nth derivative of a function via http://www.math.osu.edu/~nevai.1/H16x/DOCUMENTS/leibniz_product_formula_H6.pdf.
Homework Equations
Then I'm asked to show that f(n+1)=f(n)+3n(n-1)f(n-2) evaluated at x=0 when n>1
The Attempt at a Solution...
I think it is just substituting in t for the function inside the natural log to make it easier to understand. Putting 4 into the equation you get 42-16=16-16=0 so it is the limit of ln(0). Thinking about ln(0), it is undefined as it represents the number you would need to take e to the power of...
Hi Tiny Tim!
I don't think I understand your advice. As X is a constant, not a function, I don't think you could take X'. What I think you're referring to is the initial condition of f(X)=1. As such you would think that f'(X) would = 0 but, as I will show, that is not the case and f'(X)=c as...
They don't integrate sin43x into sin53x/5 but rather, they integrate sin43xcos3x into sin53x/5.
Thinking about sin53x/5 this makes sense as if you were to differentiate that function you would get nfn-1 per the power rule which is sin43x times the derivative of the inner function per the...
Homework Statement
f '(x)-cf(x)+g(x)=0
Homework Equations
f(X)=1
f(x)=e-c(X-x) + ∫xX e-c(r-x) * g(r)dr
X is a constant.
The Attempt at a Solution
Ok, so the part of this problem that is confusing me is the integral within the function, f(x). It is an exponential function times an unknown...
Sir, you are a God among men. The brilliance of your statement, "As sigma has already be taken, to prevent confusion, let's call the standard deviation d", is beyond measure. You have my eternal gratitude.
Homework Statement
A Normally distributed random variable with mean μ has a probability
density function given by
_ρ_...*...((-ρ2(x-μ)2)/2δ)
√2∏δ|...e^
Homework Equations
Its standard deviation is given by: A)ρ2/δ B)δ/ρ C)√δ|/ρ D)ρ/√δ| E)√δ|/2ρ
The Attempt at a Solution...