Lesson Special Math Examples
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Have you ever thought of how anyone would come up with absolute value? You might say, "it is just the amount of digits from zero, who cares....!" That is correct, but it is not the point. Finding the absolute value is a special math in working. It is used by canceling out a special technique. Absolute Value: | x | = sqrt(x^2) You see by cancelling the special use of square root and squaring, you get absolute value. | -20 | = sqrt((-20)^2) = sqrt(400) = 20 | 20 | = sqrt(20^2) = sqrt(400) = 20 Now, lets make this fun..... is |sin(x)| the same as sin(|x|) ? ....No.... sin(|x|) {{{graph(300,300,-5,5,-2,2,sin(sqrt(x^2)))}}} |sin(x)| {{{graph(300,300,-5,5,-2,2,sqrt((sin(x))^2)))}}} Now, lets use a logrithm.... (1/2)log(x^2) is the same as log(x) ? .......... I think not! (1/2)log(x^2) {{{graph(300,300,-5,5,-5,5,(1/2)log(10,x^2))}}} log(x) {{{graph(300,300,-5,5,-5,5,log(10,x))}}}
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