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Question
Which of the following is the correct graph of y = x - x3?
A)
B)
C)
D)
E)
Answer
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Related questions
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Suppose the number y of medical degrees conferred in the United States can be modeled by for , where t is the time in years, with corresponding to 1975. Use the test for increasing and decreasing functions to estimate the years during which the number of medical degrees is increasing and the years during which it is decreasing.
A) The number of medical degrees is increasing from 1975 to 1992 and 2000 to 2005, and decreasing during 1992 to 2000.
B) The number of medical degrees is increasing from 1975 to 1991 and 1999 to 2005, and decreasing during 1991 to 1999.
C) The number of medical degrees is increasing from 1975 to 1992 and 1999 to 2005, and decreasing during 1992 to 1999.
D) The number of medical degrees is increasing from 1975 to 1993 and 1999 to 2005, and decreasing during 1993 to 1999.
E) The number of medical degrees is increasing from 1975 to 1992 and 1998 to 2005, and decreasing during 1992 to 1998.
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B) The function is increasing on the interval and decreasing on the interval .
C) The function is increasing on the interval and decreasing on the interval .
D) The function is increasing on the interval and decreasing on the interval .
E) The function is increasing on the interval and decreasing on the interval .
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The variable cost for the production of a calculator is 16.25 and the initial investment is 530,000. Use differentials to approximate the change in the cost C for a one-unit increase in production when , where x is the number of units produced.
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