The number of wiretaps authorized each year by US courts fro

The number of wiretaps authorized each year by U.S. courts from 1985 to 2000 can be approximated by
W(t)=1500e^(0.15t)/0.77+e^(0.15t) for 0<t<15, where t=0 represent June 1985. Estimate that total number of wiretaps from June 1985 to june 2000.

Solution

it is the integral of W(t) from 0 to 15 integral of w(t) is 7700e^(0.15t)/0.77+6.66e^(0.15t) from 0 to 15 =7700e^2.92+6.66e^2.25 -7700-6.66 =142767+63-7700-6.66 =135123
The number of wiretaps authorized each year by U.S. courts from 1985 to 2000 can be approximated by W(t)=1500e^(0.15t)/0.77+e^(0.15t) for 0<t<15, where t=

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