Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is  Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.7 cm/s and the width of the image is changing at 0.4 cm/s.

A. 14.0 cm2/sec
B. 14.6 cm2/sec
C. 7.3 cm2/sec
D. 7.0 cm2/sec


Answer: D

Mathematics

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Solve the system by the elimination method.5x + 5y = -4-20x - 20y = 16

A. {(2, 3)} B. {(x, y)| 5x + 5y = -4} C. ? D. {(3, -5)}

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Find the points of inflection.f(x) = x3 + 7x + 2

A. (0, 7) B. (0, 2) C. (2, 7) D. (2, 0)

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Solve the problem.The function A = 224e0.027t models the population of a particular city, in thousands, t years after 2011. When will the population of the city reach 271 thousand? Is the population increasing or decreasing. Explain.

A. 2017; Decreasing; The growth rate, -0.027, is negative B. 2019; Increasing; The growth rate, 0.027, is positive. C. 2020; Decreasing; The growth rate, -0.027, is negative D. 2018; Increasing; The growth rate, 0.027, is positive.

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Write an absolute value inequality that has the given solution set.

A.  ? 2
B.  ? 2
C.  ? 2
D.  ? -6

Mathematics