Recent content by Bionerd

Homework Statement I have to find the radius of convergence for each: (A) e^3x (B) xe^(-x)^2 (C) (e^x-1)/x Homework Equations So I used the ratio test for each. I'll only write out the answer I got since I'm pretty sure I did them correctly. (A) abs. value (x) lim n--> infinity...

He is standing in the lower right corner, she in the upper left.

Homework Statement A boy is standing 50 ft. from the end of a swimming pool when he sees a girl 25 ft. along the end. He can swim 3 ft/s and run 5 ft/s. If he runs x feet, set up an equation for time consumed. Homework Equations There is a visual aid: A rectangle with length...

Okay, so I have two more parts to the problem: find y'(0) and y''(0) For y'(0), I took the derivative and got the formula y'= (e^y - ysinx)/(-xe^y - cosx) I plugged in zero for x and 1 for y, and got e as the answer. I'm not sure that this is correct. For y''(0), I painstakingly took the...

Thank you! That makes so much more sense. I just had a big Duh! moment right now. :blushing:

Homework Statement If xe^y + ycosx = 1 defines y as a function of x, find y(0) The Attempt at a Solution My problem is getting it into y= form. Since there is an e^y, I thought about taking a natural log, but that doesn't seem to be getting me anywhere. Help?

Biomass is just the math book's way of saying population. So I'm looking for the time at which population, y(t), is within 10% of carrying capacity (M, which equals 8.7x10^7). My problem is that I don't know y(t), so how do I find t? Should I plug in, say, t=0 and find y(0), then use that...

M is carrying capacity (10% of 8x10^7), t is time (which I'm looking for), and y(t) is the population. I'm confused because I don't have t or y(t).

Homework Statement This problem is driving me crazy because it seems so simple yet I can't get the right answer. We're looking for how long it takes for the biomass of halibut to get within 10% of carrying capacity (look below). Homework Equations We have to use this formula: y(t)=...

Math has always been my toughest subject, but I've gotten better grades in calculus (Calculus in 10th grade, AP in 11th) than I have gotten for math in years. I took Pre-calculus in 9th grade and hated it to so much. There's been a few times where we've had to use what we learned from it, but...

Honestly, if you had trouble with non-AP high schools Physics, don't take the AP Physics. Anything is possible with real determination, but it will be very, very difficult. At my school we are required to take 2 science APs; I chose not to take either of the AP Physics because I'm mediocre at...

Homework Statement Hello, new here. I'm doing homework for my Honors Physics class, and I have a kinematics problem that seems simple enough, but I just can't get it. Help, please? A ball is rolling on a table 1.225 m high at 6 m/s. After it rolls off, how long does it take to hit the...