Answered: The concentration, C, of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

28.

The concentration, C, of phenylbutazone, in micrograms per milliliter (μg/mL),in the plasma of a calf injected with this anti-inflammatory agent is given approximately by C(t)=42.34e−0.01057t,
where t is the number of hours after the injection and 0≤t≤90.

a)	Given that the model is accurate for 0≤t≤90, what is the initial dosage?
b)	What is the average amount of phenylbutazone in the calf's body for the time between 10 and 90 hours?

0408012001020304050tC

A coordinate system has a horizontal t-axis labeled from 0 to 120 in increments of 20 and a vertical C-axis labeled from 0 to 50 in increments of 10. From left to right, a smooth curve starts at approximately (0, 42.3) and falls at a decreasing rate.

a) The initial dosage is μg/mL.

(Type an integer or a decimal.)

b) The average amount of phenylbutazone in the calf's body for the time between 10 and 90 hours μg/mL.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.)

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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