Recent content by chimychang

I need some help on the following question: Let N() be a poisson process with parameter \lambda . I need to find that probability that N((1,2]) = 3 given N((1,3]) > 3 I know that this is equal to the probability that P(A \cap B) / P(B) where A = N((1,2]) and B = N((1,3]) >...

This is a link to the problem http://edisk.fandm.edu/annalisa.crannell/writing_in_math/projects/LeadPoisoning.html I have the differential equation \frac{\mathrm{d}B}{\mathrm{d}t} = .15*.007950 - (.0039+.0322)B I tried solving the equation by factoring than separating the variables and...

Homework Statement Use power series to estimate \int_0^1 \cos(x^2)dx with an error no greater than 0.005Homework Equations Lagrange Error Formula \frac{f^{(n+1)}}{(n+1)!}(x-a)^{(n+1)} The Attempt at a Solution My original attempt was to find the series for \cos(x^2) , integrate it, and...

\sum_{n=1}^{\infty} n \sin(\frac{1}{n}) I rewrote the sum as \sum_{n=1}^{\infty} \frac{\sin(\frac{1}{n})}{\frac{1}{n}} Then I applied the Nth term test and used L'Hoptials rule so \lim_{n\to\infty} \frac{\cos(\frac{1}{n})\frac{-1}{n^2}}{\frac{-1}{n^2}} The \frac{-1}{n^2} cancel...

Homework Statement \int{ x^3 \sqrt{(36-x^2)}dx} Homework Equations The Attempt at a Solution I tried using trig substitution but got 7776\int{cos^3(\theta)-cos^5(\theta)d\theta} which seems completely wrong 6cos(\theta)=x 6sin(\theta)d\theta=dx...