I'm 20 years old and live a relatively active lifestyle. I've never had any problems with my knee (and fortunate enough to not have any major health issues). Anyways, around Friday, my left knee started to hurt. When I tried bending my knees, squatting, walking up and down stairs (primarily down), I feel this pain at the top of the left... show more
I'm 20 years old and live a relatively active lifestyle. I've never had any problems with my knee (and fortunate enough to not have any major health issues). Anyways, around Friday, my left knee started to hurt. When I tried bending my knees, squatting, walking up and down stairs (primarily down), I feel this pain at the top of the left knee. When I flex it, I can feel something (not sure how to describe it). Any suggestions on what it is? Also, note: it cracks when I bend it, but it doesn't hurt.
Pain & Pain Management · 4 months ago
• ### Converge or not?

∫ from 1 to 9 of 1/ 3√(x-9) dx (Integral from 1 to 9 of one over the cubed root of (x-9)dx
∫ from 1 to 9 of 1/ 3√(x-9) dx (Integral from 1 to 9 of one over the cubed root of (x-9)dx
1 answer · Mathematics · 1 year ago
• ### Torque Question?

https://www.khanacademy.org/science/phys... Towards the end of the video (like the 12 minute mark, he gets 13.2). I got 16.8. What am I not doing right?
https://www.khanacademy.org/science/phys... Towards the end of the video (like the 12 minute mark, he gets 13.2). I got 16.8. What am I not doing right?
1 answer · Physics · 1 year ago
• ### ∑ (n=1 to oo) (5n+3) / (n^(5/2) - 3n^2 + 7n)?

I know it converges via comparison/p-test, but exactly what am I comparing it to?
I know it converges via comparison/p-test, but exactly what am I comparing it to?
1 answer · Mathematics · 1 year ago
• ### Even/Odd Integral help?

A) If f(x) is odd and the integral from -3 to 5 of f(x)dx is 20, what is the integral from 5 to 3 of f(x)dx? B) If f(x) is even and the integral from -5 to 6 of ((f(x) - 5)dx) = 44, what is the integral from 0 to 3 of f(2x)dx?
A) If f(x) is odd and the integral from -3 to 5 of f(x)dx is 20, what is the integral from 5 to 3 of f(x)dx? B) If f(x) is even and the integral from -5 to 6 of ((f(x) - 5)dx) = 44, what is the integral from 0 to 3 of f(2x)dx?
1 answer · Mathematics · 1 year ago
• ### Ratio Test?

∑k! /(k+4)! from k = 1 to infinity. I keep I keep getting that it's inconclusive. If I'm right, what do I do? If I'm wrong, what did I do wrong?
∑k! /(k+4)! from k = 1 to infinity. I keep I keep getting that it's inconclusive. If I'm right, what do I do? If I'm wrong, what did I do wrong?
4 answers · Mathematics · 1 year ago
• ### Ratio Test Help?

∑k! /( k+4) from k = 1 to infinity. I keep I keep getting that it's inconclusive. If I'm right, what do I do? If I'm wrong, what did I do wrong?
∑k! /( k+4) from k = 1 to infinity. I keep I keep getting that it's inconclusive. If I'm right, what do I do? If I'm wrong, what did I do wrong?
3 answers · Mathematics · 1 year ago
• ### By looking at their Taylor series, order the following functions in increasing order, for Θ near 0.?

sin(Θ) + 1, e^Θ, 1 / sqrt(1-2Θ)
sin(Θ) + 1, e^Θ, 1 / sqrt(1-2Θ)
1 answer · Mathematics · 1 year ago
• ### Series test help?

Σ(n=1 to n=oo) (2+cos(n)) / (n+1) What am I comparing this to...
Σ(n=1 to n=oo) (2+cos(n)) / (n+1) What am I comparing this to...
1 answer · Mathematics · 1 year ago
• ### Find the first four nonzero terms of the Taylor series for the function about 0.?

ln(1 − x)
ln(1 − x)
1 answer · Mathematics · 1 year ago
• ### Converge/Diverge? What test do I use?

Σ from (n = 1 to n = oo) of (n^2 + 2n) / (n^5 + n^3)? Limit Comparison or Comparison Test?
Σ from (n = 1 to n = oo) of (n^2 + 2n) / (n^5 + n^3)? Limit Comparison or Comparison Test?
3 answers · Mathematics · 1 year ago
• ### Does this series converge/diverge? What test do I use?

the series from n = 1 to n = ∞ for (3/4)^n + (5/6)^n
the series from n = 1 to n = ∞ for (3/4)^n + (5/6)^n
1 answer · Mathematics · 1 year ago
• ### Do the integral of (3 + cos(x)) dx / x^3 from 0 to 1 converge/diverge? How do you solve via comparison?

2 answers · Mathematics · 1 year ago
• ### Converge/diverge?

integral from -infinity (b) to infinity (a) of 3dx / x
integral from -infinity (b) to infinity (a) of 3dx / x
1 answer · Mathematics · 1 year ago
• ### Does this integral converge or diverge? If it converges, where?

integral from 4 to 7 (a = 4, a = 7) of dx / (5 - x)^2
integral from 4 to 7 (a = 4, a = 7) of dx / (5 - x)^2
1 answer · Mathematics · 1 year ago
• ### If F(x) = integral (from 1 to x) of f(t)dt, where f(t) = the integral (from 1 to t^2) of sqrt(1 + u^2) / u du, find F(double prime) (3)?

1 answer · Mathematics · 1 year ago