6) A technique for measuring cardiac output depends on the concentration of a dye after a known amount is injected into a vein near the heart. In a normal heart, the concentration of the dye at time t (in seconds) is given by the polynomial function g(t)-0.006+0.14/3-0.053/2 +1.79 on [0,6] by [0,20], and modify the scales as needed. a. Graph gt +> 10 X -10 -5 5 -10- b. Notice that the function initially increases. Will g(t) keep increasing forever? Explain your reasoning.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6) A technique for measuring cardiac output depends on the concentration of a dye after a known amount is
injected into a vein near the heart. In a normal heart, the concentration of the dye at time t (in seconds) is
given by the polynomial function
g(t)-0.006+0.14/3-0.053/2 +1.79
on [0,6] by [0,20], and modify the scales as needed.
a. Graph gt
+>
10 X
-10
-5
5
-10-
b. Notice that the function initially increases. Will g(t) keep increasing forever? Explain your reasoning.
Transcribed Image Text:6) A technique for measuring cardiac output depends on the concentration of a dye after a known amount is injected into a vein near the heart. In a normal heart, the concentration of the dye at time t (in seconds) is given by the polynomial function g(t)-0.006+0.14/3-0.053/2 +1.79 on [0,6] by [0,20], and modify the scales as needed. a. Graph gt +> 10 X -10 -5 5 -10- b. Notice that the function initially increases. Will g(t) keep increasing forever? Explain your reasoning.
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