document.write( "Question 1079601: Find the average value of the function f(t)=100e^(-0.5t) over the interval [0, 4] \n" ); document.write( "

Algebra.Com's Answer #694000 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Integrate the function over the range and divide by the length of the range.
\n" ); document.write( " $\"A=int%28f%28t%29%2Cdt%2C0%2C4%29%2F%284-0%29\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"int%28100e%5E%28-0.5t%29%2Cdt%2C0%2C4%29=-200e%5E%28-0.5%29%2BC\"$
\n" ); document.write( " $\"int%28100e%5E%28-0.5t%29%2Cdt%2C0%2C4%29=-200e%5E%28-2%29%2B200e%5E%280%29\"$
\n" ); document.write( " $\"int%28100e%5E%28-0.5t%29%2Cdt%2C0%2C4%29=200-200%2Fe%5E%282%29\"$
\n" ); document.write( " $\"A=50-50%2Fe%5E%282%29\"$
\n" ); document.write( " $\"A=50%281-1%2Fe%5E%282%29%29\"$ \n" ); document.write( "

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