State the Mean Value Theorem (MVT), then given h(z) = 42³ - 82² +7z-1 (a) Verify that the hypothesis of the hypothesis of the MVT is satisfied at [2, 5]. (b) Find all values of c in the open interval (2, 5) that satisfy the conclusion of the theorem. (c) Support the choice for c graphically. (You may use graphing app for this part.)

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