10. For what values of x in the interval [1, 4] does the graph of f(x)=−x^3+6x^2...

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 above the x-axis and under the parabola y=4−x2? Hint: the vertex of the riangle is at the origin an the base of the triangle is parallel to the x-axis

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Expert Solution

milcah answered 1 year ago

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