(New page: ==Energy Calculation== ==Average Power Calculation==) |
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+ | ==Energy Calculation for function <math>y = \sqrt(x)</math> with timespan from 0 to 1== | ||
+ | <math>P = \int_0^1\ \! |\sqrt(x)|^2 dx </math><br> | ||
+ | <math>P = \int_0^1\ \! |x| dx </math><br> | ||
+ | <math>P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 </math><br> | ||
+ | <math>P = {1 \over 2} </math><br> | ||
− | + | ==Average Power Calculation for function <math>y = \sqrt(x)</math> with timespan from 0 to 1== | |
− | == | + | <math>P = {1 \over {1 - 0}} \int_0^1\ \! |\sqrt(x)|^2 dx </math><br> |
− | + | <math>P = \int_0^1\ \! |x| dx </math><br> | |
− | + | <math>P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 </math><br> | |
− | == | + | <math>P = {1 \over 2} </math><br> |
Latest revision as of 16:22, 4 September 2008
Energy Calculation for function $ y = \sqrt(x) $ with timespan from 0 to 1
$ P = \int_0^1\ \! |\sqrt(x)|^2 dx $
$ P = \int_0^1\ \! |x| dx $
$ P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 $
$ P = {1 \over 2} $
Average Power Calculation for function $ y = \sqrt(x) $ with timespan from 0 to 1
$ P = {1 \over {1 - 0}} \int_0^1\ \! |\sqrt(x)|^2 dx $
$ P = \int_0^1\ \! |x| dx $
$ P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 $
$ P = {1 \over 2} $