Answer
$3,660,000 $
Work Step by Step
Let $N$ be the number of supporters for the candidate. Therefore,
$\dfrac{dN}{dt}=2000t+1000$
At the initial point, there are no supporters.
So, $N(0)=0$ and $dN=(2000t+1000)$
Integrate the above equation to obtain:
$\int_0^{60} dN=\int_0^{60} (2000t+1000) \ dt$
or, $ N(60)-N(0)=(1000t^2+1000t)_0^{60} $
or, $N(60)=36,000,00+60000-0$
or, $N(60)=3660000 $
Therefore, the number of supporters the candidate has after 60 days is: $3,660,000 $
