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luxmimspcbcxf
03.07.2019 •
Mathematics
1. provide an appropriate response.
a company estimates that it will sell n(t) hair dryers after spending $t thousands on advertising as given by:
n(t) = -3t3 + 450t2 - 21,600t + 1,100, 40 ? t ? 60 for which values of t is the rate of sales n'(t) increasing?
a. 50 < t < 60 b. 40 < t < 50. c. t > 40 d. 40< t < 60
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Ответ:
D. 40 < t < 60
Step-by-step explanation:
Given function,
Differentiating with respect to x,
For increasing or decreasing,
f'(x) = 0,
By the quadratic formula,
Since, in the interval -∞ < t < 40, f'(x) = negative,
In the interval 40 < t < 60, f'(t) = Positive,
While in the interval 60 < t < ∞, f'(t) = negative,
Hence, the values of t for which N'(t) increasing are,
40 < t < 60,
Option 'D' is correct.
Ответ: