To test an individual's use of a certain mineral, a researcher injects a small amount of a radioactive form of that mineral into the person's bloodstream. The mineral remaining in the bloodstream is measured each day for several days. Suppose the amount of the mineral remaining in the bloodstream (in milligrams per cubic centimeter) t days after the initial injection is approximated by C(t)=- ) == 2(21+4)=-1/2 Find the rate of change of the mineral level with respect to time for 7.5 days. The rate of change of the mineral level with respect to time for 7.5 days is approximately (Round to two decimal places as needed.) milligrams per cubic centimeter per day.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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To test an individual's use of a certain mineral, a researcher injects a small amount of a radioactive form of that mineral into the person's bloodstream. The mineral remaining in the bloodstream is
measured each day for several days. Suppose the amount of the mineral remaining in the bloodstream (in milligrams per cubic centimeter) t days after the initial injection is approximated by
-1/2
C(t) = (21+4)-1
Find the rate of change of the mineral level with respect to time for 7.5 days.
The rate of change of the mineral level with respect to time for 7.5 days is approximately
(Round to two decimal places as needed.)
milligrams per cubic centimeter per day.
Transcribed Image Text:To test an individual's use of a certain mineral, a researcher injects a small amount of a radioactive form of that mineral into the person's bloodstream. The mineral remaining in the bloodstream is measured each day for several days. Suppose the amount of the mineral remaining in the bloodstream (in milligrams per cubic centimeter) t days after the initial injection is approximated by -1/2 C(t) = (21+4)-1 Find the rate of change of the mineral level with respect to time for 7.5 days. The rate of change of the mineral level with respect to time for 7.5 days is approximately (Round to two decimal places as needed.) milligrams per cubic centimeter per day.
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