Recent content by bobber205

Don't really want to start a whole new topic on this so I'l append this topic. "Two fair dice are rolled. What is the probability that the number on the first die was at least as large at 4 given that the sum of the two dice was eight?" Here's what I take from it. There are only 8...

Here's what I have. :D P(white2 and white1) = (.5)(2/2) + (.5)(1/2)(1/2) = 5/8 which is what I need. I didn't see it the first time that the first 1/2 represents the first one HAVING to be white while the second 1/2 is the change for the second marble, assuming the variable marble is black...

Homework Statement An urn contains one white chip and a second chip that is equally likely to be white or black. A chip is drawn at random and returned to the urn. Then a second chip is drawn. What is the probability that a white appears on the second draw given that a white appeared on the...

Since ln(0) doesn't exist, this question is futile right? I am tasked with finding a Maclaurin powerseries for ln(x) and to find out how many times I have to run that series to get a accurate answer for ln(1.5). What should I do? Should I find the taylor series for ln(1.5) for should I...

Is it correct?

Trying to find the Taylor Series for cos(x) where x0 is PI. I've gotten cos(x) -1 -sin(x) 0 -cos(x) 1 sin(x) 0 cos(x) -1 It's clearly 0 every other term so I need 2k or 2k-1. But the -1 term switches between -1 and 1 How in world do I deal with this? xD Thanks for any...

Are there any good online resources? :)

I'm in a "series and sequences" class. Up until power series, if I studied the material a decent amount and did a lot of practice problems, things made sense. We got to power series today and I simply am not getting anything. I read the chapter in the book just now and it totally lost me...

How did he arrive at the 2x^2 / (x+3)(x+1) step? Is there something I'm missing he did when he took the limit to infinity?

I am having trouble with why he choose to let y what it does and how we went on from there. How did he get ln ((x+3)(x+1)/(1/x))

Didn't realize that. Sorry. :)

Can someone explain to me how they get last line to work out? I am confused on how they're using natural log with limit problems. Thanks for the help! :)

Objects on a Slope -- Pretty Easy This is a modified version of a physics problem for my HW. We were to find the mass an item had to be to "go down" a slope and go up. However, the slopes were not even so a larger mass one side did not necessarily mean the "heavier" side slid down. So I made...

Ok. Thanks for the help. That was a lot more complex than I was expecting! :)

I see what you're saying but how does that prove the answer HAS to be 2?