Recent content by Jess Karakov

Not so much a waste of time as it is a consideration for your financial limitations. Not everyone has the money to just go to college solely to study things they find interesting to get little payout. Sometimes the debt exceeds the interest, and that is in no way a fault of an individual but...

Hello PF. I'm a current sophomore in college studying aerospace engineering, but I was a physics major for most of last year. I am curious what would have become of that, since a lack of desire for low-paying employment opportunities trumped my aspirations in the field. I am curious, how many of...

Ah okay. I wasn't aware of this. Thank you.

Homework Statement Evaluate the derivative of the following function: f(w)= cos(sin^(-1)2w) Homework Equations Chain Rule The Attempt at a Solution I did just as the chain rule says where F'(w)= -[2sin(sin^(-1)2w)]/[sqrt(1-4w^(2)) but the book gave the answer as F'(w)=(-4w)/sqrt(1-4w^(2))...

No need to be condescending, sir.

So because the denominator shoots off into infinity and also because (-1)^n oscillates between -1 and 1 forever, the sequence is divergent?

I really enjoyed Understand Physics by Isaac Asimov. It delves more into the conceptual side of physics without getting too mathematical The Feynman Lectures are available online as well, they're pretty good. Feynman is king.

Homework Statement Determine which of the sequences converge or diverge. Find the limit of the convergent sequences. 1) {asubn}= [((n^2) + (-1)^n)] / [(4n^2)] Homework Equations [/B] a1=first term, a2=second term...an= nth term The Attempt at a Solution a) So I found the first couple of...

yes...:wink:

So K would just be 2?

Homework Statement Suppose that T4 is used to approximate the ∫ from 0 to 3 of f(x)dx, where -2 ≤ f ''(x) ≤ 1 for all x. What is the maximum error in the approximation? Homework Equations |ET|≤ (K(b-a)^3)/(12n^2) The Attempt at a Solution So I know how to find the error of the trapezoidal...