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Math 1210-001 Homework 7 Due 9 July, 2013 This homework assignment is designed to go along with sections 3.5 through 3.8 of your textbook, which we have completed in class. Make sure your work is neat, legible, well-organized and self-explanatory. You must staple your assignment to receive full credit. Name: 1. (10 points) Use information from the first and second derivative, as well as information about x and y intercepts, end behavior, etc (from MATH-1050) to graph the function 2 . Label any local extrema, singular points, and points of inflection. g(x) = x +5x−6 x−6 2. (10 points) Use the Bisection method to approximate the real solution to x − 2 + 2 cos(x) = 0 which falls between x = 1 and x = 2. 3. (10 points) Decide whether the Mean Value Theorem applies to the function f (x) = x+ x1 on the interval [−1, 21 ]. If it does, find all possible values of c. If not, state the reason. 5 4. (10 points) Decide whether the Mean Value Theorem applies to the function g(x) = x 3 on the interval [−1, 1]. If it does, find all possible values of c. If not, state the reason. √ 5. (10 points) Find the general antiderivative of f (x) = x2 x3 + 4.