Recent content by wown

Gotcha. Thanks a lot!

:) I have not taken linear algebra yet (this is for diff eq class) and so most of what you said went over my head. but in lamens terms, i think this is what you are saying: because the eigenvalue 2 is a repeated root of the equation A-rI = 0, the eigenvectors will not be unique and so it is...

I am little confused about the choice of eigenvectors chosen by my book. I am wondering if an eigenvalue can have multiple eigenvectors and if all are equally correct. Case in point the example below: Homework Statement find a fundamental matrix for the system x'(t) = Ax(t) for the given...

so you are implying that the probability is .4?

A better way to do Probabilities with Chips and Bowls? Question: bowl 1 contains 6 red chips and 4 blue chips. 5 chips are selected at random and placed in bowl 2. then 1 chips is drawn from bowl 2. Relative to the hypothesis that this chip is blue, find the conditional probability that 2 red...

Unfortunately, i typed the question verbatim and not sure how to respond to you. note that the 2/3 upper limit on x was defined by me. I figured that y <1 (from y ≤ 3x/2 < 1). so therefor x cannot be more than 2/3, since y must also be less than 3x/2. for x> 2/3, y>1. e.g. when x=1, y=3/2...

Note: as i was typing this post, i think i figured out the answer but i want to confirm. Question: let A denote the set of points that are interior to, or on the boundary of, a square with opposite verties at the points (0,0) and (1,1). let Q(A) = ∫∫dydx if C, a subset of A, is the set...

Question: You have 100 coins. 99 are fair and 1 is double sided. You pick a random coin and flip it 10 times and get 10 heads in a row. What is the probability that you picked the double sided coin? Response / help needed: Probablity of picking a 1 sided coin = .01 Probability of heads 10...

I need to do a laplace transform on cos^3 t. I understand laplace but the trig is tripping me up. cos^3 t = Cos^2 t * Cos t = cos t * (cos 2t + 1)/2 (double angle formula) so i have (cos t)*(cos 2t)/2 + (cos t)/2. my book's solution says (cos t)*(cos 2t)/2 = (1/2)(cos (2t+1) + cost...

to elaborate on the question further: consider the linear equation t^2(y``)-3t(y`)+3y=0 for -inf to inf Y1 = t and Y2= t^3 Wronskian of Y1 and Y2 equals 2t^3 implying independance. ... actually while writing this i think i answered my own question.The DE must be in staqndard...

Hi, I just want to clarify something written in my textbook - a contradiction of sorts. My book says, if i have two functions, Y1 Y2, and their wronskian is 0 at any point on the interval I, the functions are dependant functions. However, while doing a problem, I found the wronskian to...

Never mind- it was a calculation error... Answer is pi.

Homework Statement Find surface integral of vector field F=<x,y,x+y> over the surface z=x^2+y^2 where x^2+y^2 less than 1. Use outward pointing normals Homework Equations The Attempt at a Solution So I did the whole thing and got a zero which doesn't look right to me. My algebra...

hm interesting. my calc book includes the f(x,y,g(x,y))... which in this case would make sense, no? because ultimatwly i need to multiply by the constant i got from stoke's formula

first, thanks so much for bearing with me and being so patient :) so, basically i have curl*normal = <0,2,1>dot prod<-4,8,1> = 17 = f(x,y,g(x,y)) which is a constant. multiply this by the sqrt of (1+16+64) = 9. So the final is a constant = 153 which i multiply times the area of the circle =...