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Let f(x) = 3x-+9x - 6 (22 points) a. State Rolle's Theorem b. Verify that the function satisfies the three conditions of Rolle's Theorem on

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Let f(x) = 3x-+9x - 6 (22 points) a. State Rolle's Theorem b. Verify that the function satisfies the three conditions of Rolle's Theorem on the given interval [-2,0] c. Find all numbers c that satisfy the conclusion of Rolle's Theorem on the interval [-2,0] d. State the Mean Value Theorem e. Verify that the function satisfies the two conditions of Rolle's Theorem on the given interval [-1,0] f. Find all number c that satisfy the conclusion of the Mean Value Theorem on [-1,0]

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