The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is given by the following. 5t 27 +³ (a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.) 0 0.5 1.5 2 2.5 3 C(t) = t= 2.25 t C(t) 0 t= 1.25 O t≥ 0 1.2- C(61.15- 1.1- 1.05 (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 1 0.25 0.2 C(t) 0.15 0 0.1 0.05 hr 0 0.5 0.5 hr 092 hr 1 1 1.5 1 .179 1.5 1 2 1 2 2.5 2.5 .247 3 1.25- 1.2- C( 1.15- 1.1- 1.05 286 0.25 0.2- C(1) 0.15 0.1 0.05 0 0 0.5 0.5 1 293 Enter a number. 1 (c) Use calculus to determine analytically the time when the concentration is greatest. 1.5 1 1.5. I 2 .278 2 2.5 2.5 3 3
The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is given by the following. 5t 27 +³ (a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.) 0 0.5 1.5 2 2.5 3 C(t) = t= 2.25 t C(t) 0 t= 1.25 O t≥ 0 1.2- C(61.15- 1.1- 1.05 (b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest. 1 0.25 0.2 C(t) 0.15 0 0.1 0.05 hr 0 0.5 0.5 hr 092 hr 1 1 1.5 1 .179 1.5 1 2 1 2 2.5 2.5 .247 3 1.25- 1.2- C( 1.15- 1.1- 1.05 286 0.25 0.2- C(1) 0.15 0.1 0.05 0 0 0.5 0.5 1 293 Enter a number. 1 (c) Use calculus to determine analytically the time when the concentration is greatest. 1.5 1 1.5. I 2 .278 2 2.5 2.5 3 3
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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Transcribed Image Text:The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is given by the following.
C(t) =
27 +3
(a) Complete the table and use it to approximate the time when the concentration is greatest. (Round your answers to three decimal places.)
0
0.5
1.5
2
t = 2.25
t
C(t) 0
t≥ 0
C(1) 1.15
hr
C(t) 0.15-
0.05
.092
0.5
I
1
.179
(b) Use a graphing utility to graph the concentration function and use the graph to approximate the time when the concentration is the greatest.
1
PO
1
2
2.5
F
.247
13
1.25
286
1.2-
C(t) 1.15
1.05
VO
2.5
293
Enter a number.
(c) Use calculus to determine analytically the time when the concentration is greatest.
.278
NE
3
3
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