10. For what values of x in the interval [1, 4] does the graph
of f(x)=−x^3+6x^2 −9x−1 satisfy Rolle’s Theorem? Include a sketch
and a brief explanation of what’s going on in this problem.
11. Evaluate each limit. Provide a brief explanation of how you
can apply the “top heavy, bottom heavy, it’s a tie” strategy.
lim x→∞ 1 / (2x+sinx)
12) Draw a diagram
and solve: What is
the exact area of
the biggest isosceles
triangle you can
inscribe ...