Concept explainers
(a)
To find: The rate of change of the calcium level with respect to time at
(a)
Answer to Problem 63E
The rate of change of the calcium level with respect to time at
Explanation of Solution
The amount of calcium remaining is
The rate of change of the calcium level with respect to time is given by,
The rate of change of the calcium level at
Hence, rate of change of the calcium level at
(b)
To find: The rate of change of the calcium level with respect to time at
(b)
Answer to Problem 63E
The rate of change of the calcium level with respect to time at
Explanation of Solution
The amount of calcium remaining is
From part (a), the rate of change of the calcium level with respect to time is
The rate of change of the calcium level at
Hence, rate of change of the calcium level at
(c)
To find: The rate of change of the calcium level with respect to time at
(c)
Answer to Problem 63E
The rate of change of the calcium level with respect to time at
Explanation of Solution
The amount of calcium remaining is
From part (a), the rate of change of the calcium level with respect to time is
The rate of change of the calcium level at
Hence, rate of change of the calcium level at
(d)
Whether C is always increasing or decreasing; explain how to determine.
(d)
Answer to Problem 63E
The Calcium remaining in the blood stream is always decreasing.
Explanation of Solution
The amount of calcium remaining is
From part (a), the rate of change of the calcium level with respect to time is
From the parts (a), (b), and (c), observe that
Thus, the amount of calcium in the blood will decrease with respect to time is decreasing gradually.
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Chapter 12 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
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