Say you have a solution with 4 substances, X substance with pH 3.3, Y with a pH of 2.6, Z substance pH of 2.4 and W with a pH of 2.5. All of the substances are at 100% concentration
You also know the volume and pH of the overall solution.
Is it possible to determine purity in terms of X...
I tried my best and got this as my final integral, however Mathmetica shows a 14 page integral with complex roots..
\frac{2}{3}\left [ x+3 \frac{(x^2-4x+3)^2}{\frac{x^3}{3} - 2x^2 + 3x} \right ]^\frac{3}{2}
Homework Statement
Right I won't bore you with a sob story but this is a regular grade 12 class and we've been posed with this problem:
Find the arc length of this function across first 5 seconds (t = seconds)
s(t) = t3 - 6t2 + 9t + 5
I learned the formula of s = Integral of...
It was a bonus question on our test yesterday. Yup we need the limit of the sum of all of the areas. I know that the areas of the figures approach to 0 that's easy.
Oh sorry I'm stupid, I remembered how haha.
Since you're here I also have another hard one.
A circle is inscribed in a triangle, a square is inscribed in that circle, a circle is inscribed is that square, a pentagon is inscribed in that circle, the trend continues with the degree going up...
Homework Statement
Find the limit of the sum of:
y = (2n + 3n) / 4nThe Attempt at a Solution
as n-> infinity, y approaches 0. I don't know where to proceed from here.