To graph: The derivative of the function c ( t ) = − 0.0012 t 3 + 0.12 t 2 − 1.83 t + 3.97 , 20 ≤ t ≤ 50 by technology and then choose the correct option for the behavior of c ′ in interval [ 20 , 32 ] , where C is the function of time t (in days) which represents the consumption of oxygen by a turkey embryo in milliliters per hour. The consumption of oxygen increases with time as egg is laid to the time it will hatch that is approximately t = 50 . The options are: (A) Increasing, then decreasing (B) Decreasing then increasing (C) Decreasing (D) Increasing
To graph: The derivative of the function c ( t ) = − 0.0012 t 3 + 0.12 t 2 − 1.83 t + 3.97 , 20 ≤ t ≤ 50 by technology and then choose the correct option for the behavior of c ′ in interval [ 20 , 32 ] , where C is the function of time t (in days) which represents the consumption of oxygen by a turkey embryo in milliliters per hour. The consumption of oxygen increases with time as egg is laid to the time it will hatch that is approximately t = 50 . The options are: (A) Increasing, then decreasing (B) Decreasing then increasing (C) Decreasing (D) Increasing
Solution Summary: The author explains how to graph the derivative of the function c(t)=-0.0012t
To graph: The derivative of the function c(t)=−0.0012t3+0.12t2−1.83t+3.97, 20≤t≤50 by technology and then choose the correct option for the behavior of c′ in interval [20,32], where C is the function of time t (in days) which represents the consumption of oxygen by a turkey embryo in milliliters per hour. The consumption of oxygen increases with time as egg is laid to the time it will hatch that is approximately t=50.
The options are:
(A) Increasing, then decreasing
(B) Decreasing then increasing
(C) Decreasing
(D) Increasing
(b)
To determine
The derivative of the function c(t)=−0.0012t3+0.12t2−1.83t+3.97, 20≤t≤50 using TI-83 calculator and then use the graph to determine the day when the most rapid of increase of oxygen, where C is the function of time t (in days) which represents the consumption of oxygen by a turkey embryo in milliliters per hour. The consumption of oxygen increases with time as egg is laid to the time it will hatch that is approximately t=50.
(c)
To determine
The day when the slowest of increase of oxygen of function c(t)=−0.0012t3+0.12t2−1.83t+3.97, where C is the function of time t (in days) which represents the consumption of oxygen by a turkey embryo in milliliters per hour. The consumption of oxygen increases with time as egg is laid to the time it will hatch that is approximately t=50.
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
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