For the given logarithmic function, find a) the average rate of change for the interval [2, 6] and b) the interval [3, 5], as well as c) the rate of change at x = 4. Round all calculations to the nearest thousandth.f(x) = ln(x + 1)

A. a) 0.2
b) 0.255
c) 0.275
B. a) 0.212
b) 0.203
c) 0.2
C. a) 0.275
b) 0.255
c) 0.2
D. a) 0.2
b) 0.203
c) 0.212


Answer: B

Mathematics

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Using the derivative of f(x) given below, determine the critical points of f(x).f'(x) = (x - 2) e-x

A. 3 B. 2 C. -3 D. -2

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Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(-1) = - and f(-3) = 0, sketch the graph of f. Explain how you obtained the graph of f. 

What will be an ideal response?

Mathematics

Solve the equation.t2 + 4t - 32 = 0

A. -8, 1 B. 8, 4 C. -8, 4 D. 8, -4

Mathematics