Recent content by rappa

stock solutions: 100% acetic acid (liquid), 95% ethanol (liquid), dH20 (liquid) 1) 75 mL of Solution A: Fixing Solution (40% ethanol, 10% acetic acid) they are saying if we have a 100% stock of acetic acid and 95% stock of ethanol, how do we make them into 40% ethanol and 10% acetic acid...

Ok here goes, I hope that works... (1 + (1/64 x^4 - 1/2 + 4/x^4) 65/64 x^4 + 1/2 + 5/x^4 so now square root of that: root(65/65) x^2 + root (1/2) + root (5) / x^2 that looks bad, that's why I thought to do it the other way: (1/64 x^4 - 1/2 + 4/x^4)^(1/2) integrates to...

We can't add the one, and we can't just take the square root either. Have to just integrate it straight from the square root and plug in the numbers to get the length. This is what I did for the integration (1/64 x^4 - 1/2 + 4/x^4)^(1/2) = (2/3) (1 + (1/64 x^4 - 1/2 + 4/x^4))^(3/2) (x +...

ok so now I have: (2/3) (1 + (1/64 x^4 - 1/2 + 4/x^4))^(3/2) (x + (1/320 x^5 - 1/2x - 4/3 x^-3)

is it: 1/64 x^4 - 1/2 + 4/x^4 ?

the 1+ part isn't squared, just the inside bracket. I just left the square root part, but I only squared the inside.

24xy = x^4 + 48 y = (x^4 + 48) / 24x y = 1/24 x^3 + 2/x or 2x^-1 dy/dx = 3/24 x^2 - 2x^-2

Question: Find the length of the curve 24xy = x^4 + 48 between (2, 4/3) and (3, 43/24). Answer is supposed to be 9/8. This is the formula (I think): square root(1 + (dy/dx)^2 dx) I tried to integrate and I did it like this: dy/dx = 3/24 x^2 - 2x^-2 or 3/24 x^2 - 2/x^2 then: square root(1...