Explanation Given information: Values of x and g ( x ) are given in the table. Calculation: The value of g ( x ) is increasing at a decreasing rate for 2.7 < x < 4.2 and increasing at an increasing rate for x > 4.2. Thus, we have Between x = 4.7 and x = 5.2, Δ y Δ x = 7.4 − 6

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Chapter 2.2, Problem 27P

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For what value of x does g′(x) appears to be closest to 3?

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Chapter 2.2, Problem 26P

Chapter 2.2, Problem 28P

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A particle moves along the x-axis for 0 < t < 18 such that its velocity is given by the graph shown below. Find the total distance traveled by the particle during the time interval 4 ≤ t ≤ 8. 8 y 7 6 5 4 32 1 6 7 -1 1 2 3 4 5 -1 -2 -3 -4 56 -6 -8 8 00 Graph of v(t) x 9 10 11 12 13 14 15 16 17 18 19

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For what value of x does g ′ ( x ) appears to be closest to 3?

Solution Summary: The author explains that g (x) should be closer to 3 near x = 5.2.

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For what value of x does g′(x) appears to be closest to 3?

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Chapter 2 Solutions