Suppose that (0) 2 and '(x) 3 for x 0 Apply the MVT to the interval 0, 4 to prove that (4) 14 Prove more generally that (x) 2 3x for all x 0

Question: Suppose that (0) = 2 and '(x) 3 for x > 0. Apply the MVT to the interval [0, 4] to prove that (4)

Suppose that ƒ(0) = 2 and ƒ'(x) ≤ 3 for x > 0. Apply the MVT to the interval [0, 4] to prove that ƒ(4) ≤ 14. Prove more generally that ƒ(x) ≤ 2 + 3x for all x > 0.

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