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When studying anything in Mathematics, it is very easy to get lost in the technical details and lose sight of what everything really means on a conceptual level - that's why these kinds of questions are s...
When integrating we add one to the power of x and divide the number in front of the x by the new power for each part of the function. So 2x^2 becomes 2/3 x^3, 4x becomes 4/2 x^2, 1 becomes 1/1 x^1. Then w...
d(sin3y)/dx= 3cos3y*(dy/dx)d(3ye^(-2x))/dx = -6ye^(-2x) + 3(dy/dx)e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y(dy/dx) - 6y*e^(-2x) + 3(dy/dx)e^(-2x) + 4x = 0rearrange the equationdy/dx ...
An enzyme is a type of protein, and proteins are made up of amino acids. The sequence of amino acids determines the shape of the enzyme, which in turns controls which substrates will or won't fit into the...
ln(a^x) = ln(b^y) = ln((ab)^(xy))xln(a) = xyln(ab)ln(a) = yln(ab) = y(ln(a) + ln(b))y = ln(a)/(ln(a)+ln(b))with same analysis for ln(b^y):ln(b) = x(ln(a) + ln(b))x = ln(b)/(l...
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