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\noindent {\bf Problem statement} Suppose $F(x) = \int_1^x f(t) \, dt$
where $f$ is the function whose graph is displayed. The graph consists
of three line segments (for $x$ between 0 and 3) followed by an
unknown curve.
Also, the value of $\int_0^5 f(t) dt$ is $ -{2\over 3}$.

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\noindent a) What is $F(5)$?

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\noindent b) Find the equation of the line tangent to the graph of
$F(x)$ at the point $\left(3,F(3)\right)\,$.

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