Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) The temperature is increasing, and the rate of increase is increasing. f '(1) = 2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f '(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) O The temperature is increasing, and the rate of increase is increasing. f '(1) = -2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfortably hot. What happens to the temperature in each case? (a) The temperature is increasing, and the rate of increase is increasing. f '(1) = 2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f '(1) = -2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) O The temperature is increasing, and the rate of increase is increasing. f '(1) = -2, f "(1) = 6 O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(1) = 2, f "(1) = -6 O The temperature is increasing, and the rate of increase is increasing. O The temperature is increasing, but the rate of increase is decreasing. O The temperature is decreasing, but the rate of change is increasing (becoming less negative). O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Ch 4.3 #10
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Transcribed Image Text:Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfortably hot. What happens to
the temperature in each case?
(a)
f '(1) = 2, f "(1) = 6
O The temperature is increasing, and the rate of increase is increasing.
O The temperature is increasing, but the rate of increase is decreasing.
The temperature is decreasing, but the rate of change is increasing (becoming less negative).
O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
(b)
f'(1) = -2, f "(1) = -6
O The temperature is increasing, and the rate of increase is increasing.
O The temperature is increasing, but the rate of increase is decreasing.
O The temperature is decreasing, but the rate of change is increasing (becoming less negative).
O The temperature is decreasing, and the rate of change is decreasing (becoming mor
negative).
(c)
f '(1) = -2, f "(1) = 6
O The temperature is increasing, and the rate of increase is increasing.
O The temperature is increasing, but the rate of increase is decreasing.
O The temperature is decreasing, but the rate of change is increasing (becoming less negative).
O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
(d)
f '(1) = 2, f "(1) = -6
O The temperature is increasing, and the rate of increase is increasing.
O The temperature is increasing, but the rate of increase is decreasing.
O The temperature is decreasing, but the rate of change is increasing (becoming less negative).
O The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
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