16 Extra Credit 1 Extra Credit 2 1 (46.12 KiB) Viewed 29 times
16. Given: f(x)=x3−x2−12x+5 (1) Explain why the Mean Value Theorem can be applied to f on [1,4]. (1 point) (2) Find the average rate of change of f on [1,4]. (4 points) (3) Find all values of " c " that satisfy the conclusion of the Mean Value Theorem on [ 1,4].(6 points)
Extra Credit #1 (3 points) if you have time In problem 16 (above), find all points on the curve whose x-coordinate is 1 . Show all reasoning. Extra Credit #2 (4 points) if you have time Write an equation for the tangent line at each of the points you found in Extra Credit #1.
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