The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is given by the following. 8t C(t) = t2 0 27 + t (a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.) 0.5 1.5 2 2.5 3 C(t) hr (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 04 0.4 0.3 0.3 02 02 0.1 0.1 0.5 1 1.5 2 2.5 3 0.5 1 1.5 2 2.5 3 1.4 1.4 1.3 1.3 1.2- 12 1.1 1.1 0.5 1 1.5 2.5 0.5 1.5 2 2.5 3 hr (c) Use calculus to determine analytically the time when the concentration is greatest. t = hr

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.9: Negative Exponents
Problem 25OE
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The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is given by the following.
8t
C(t) =
t2 0
27 + t
(a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal
places.)
0.5
1.5
2
2.5
3
C(t)
hr
(b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is
the greatest.
0.4
0.4
03
03
02
02
0.1
0.1
0.5
1
1.5
2
2.5
3
0.5
1.5
2
2.5
3
1.4
1.4
1.3
1.3
1.2-
12
1.1
1.1
0.5
1
1.5
2.5
0.5
1.5
2
2.5
3
hr
(c) Use calculus to determine analytically the time when the concentration is greatest.
t =
hr
Transcribed Image Text:The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is given by the following. 8t C(t) = t2 0 27 + t (a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.) 0.5 1.5 2 2.5 3 C(t) hr (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 0.4 0.4 03 03 02 02 0.1 0.1 0.5 1 1.5 2 2.5 3 0.5 1.5 2 2.5 3 1.4 1.4 1.3 1.3 1.2- 12 1.1 1.1 0.5 1 1.5 2.5 0.5 1.5 2 2.5 3 hr (c) Use calculus to determine analytically the time when the concentration is greatest. t = hr
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