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Homework 15 - vu(tv2894 – Homework 15(Section 4.3 –...

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Unformatted text preview: vu (tv2894) – Homework 15 (Section 4.3) – miner – (55096) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is increasing and its graph is concave down on (0 , 1), which of the following could be the graph of the derivative , f ′ , of f ? 1. 1 f ′ ( x ) 2. f ′ ( x ) 1 cor- rect 3. f ′ ( x ) 1 4. 1 f ′ ( x ) Explanation: The function f increases when f ′ > 0 on (0 , 1), and its graph is concave down when f ′′ < 0. Thus on (0 , 1) the graph of f ′ lies above the x-axis and is decreasing. Of the four graphs, only f ′ ( x ) 1 has these properties. 002 10.0 points Ted makes a chart to help him analyze the continuous function y = f ( x ): y y ′ y ′′ x <- 1 +- x =- 1 2- 1 < x <-- x = 0 1- 1 < x < 2- + x = 2- 2 DNE x > 2 + + Consider the following statements: A. f has a local minimum at x = 2....
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Homework 15 - vu(tv2894 – Homework 15(Section 4.3 –...

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