Define A(x) to be the area bounded by the t- and y-axes, the curve y=f(t), and the vertical line t=x(see figure below). It is clear that A(1)<2 and a(3)>2. Do you think there is a value of x between 1 and 3 so that A(x)=2? If so, justify your conclusion and estimate the location of the value of x that makes A(x)=2. If not, justify your conclusion.