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The acidity of a compound is measured by its pKa, which is defined as: pKa=-log([H⁺]) ([H⁺] is the concentration of H⁺ in solution). As [H⁺] increases, pKa decr...

Imagine the function f(x) as a black box which takes in any value x and produces an output y. The black box acts on its input according to a rule which produces a unique value of y for a given x. If the b...

Universities are interested in who you are as a person, not just as a results sheet. University is a time to finally focus on studying something you are truly interested in, so you need to show through yo...

First set up integral. Do not forget dx!

Int(f(x)) between 0 and 1

Optionally take out factor of 3 to simplify problem.

Solve using substitution and the exponential rule.

Integ...

For example, 7/10 is the same as 0.7 and 70%. Percentages are actually all fractions out of 100. 70% is 70/100, 50% is 50/100, etc. When these are written as fractions they should be simplified so the den...