i need help with these eqution

Anonymous

Question Description

2. Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x , [0, 16] 3. Show that the equation has exactly one real root. 8x + cos x = 0 4. If f(3) = 5 and f '(x) ≥ 2 for 3 ≤ x ≤ 6, how small can f(6) possibly be? 5. Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(7) − f(4)? ≤ f(7) − f(4) ≤ 6. A function is given below. Determine the average rate of change of the function between x = 5 and x = -2. h(x) = x 2 + 4x 7. A function is given below. Determine the average rate of change of the function between x = - 2 and x = 1. h(x) = x3 - 81x2 8.A function is given below. Determine the average rate of change of the function between x = 3 and x = 3 + h. f(x) = -9x2

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