4. Microtutorial Genes produce molecules called MRNA that go on to produce proteins. High concentration of protein inhibit the production of MRNA, leading to stable gene regulation. This pro- cess has been modeled to show that the concentration of MRNA over time is given by the equation 1 (sin t - cost) + 2 m(t) 2 (a) Evaluate lim, o m(t) and interpret your result. (b) Use the Squeeze Theorem to evaluate lim,0 m(t) and interpret your result. An accident at an oil drilling platform is causing a circular 5 oil slick which is harmful to marine life. The slick is 0.08 foot thick and when the radius of the slick is 150 feet, the radius is increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minute) is oil flowing from the site of the accident?

Question
4. Microtutorial
Genes produce molecules called MRNA
that
go on to produce proteins. High concentration of protein inhibit
the production of MRNA, leading to stable gene regulation. This pro-
cess has been modeled to show that the concentration of MRNA over
time is given by the equation
1
(sin t - cost) +
2
m(t)
2
(a) Evaluate lim, o m(t) and interpret your result.
(b) Use the Squeeze Theorem to evaluate lim,0 m(t) and interpret
your result.
An accident at an oil drilling platform is causing a circular
5
oil slick which is harmful to marine life. The slick is 0.08 foot thick
and when the radius of the slick is 150 feet, the radius is increasing at
the rate of 0.5 foot per minute. At what rate (in cubic feet per minute)
is oil flowing from the site of the accident?
Expand
Transcribed Image Text

4. Microtutorial Genes produce molecules called MRNA that go on to produce proteins. High concentration of protein inhibit the production of MRNA, leading to stable gene regulation. This pro- cess has been modeled to show that the concentration of MRNA over time is given by the equation 1 (sin t - cost) + 2 m(t) 2 (a) Evaluate lim, o m(t) and interpret your result. (b) Use the Squeeze Theorem to evaluate lim,0 m(t) and interpret your result. An accident at an oil drilling platform is causing a circular 5 oil slick which is harmful to marine life. The slick is 0.08 foot thick and when the radius of the slick is 150 feet, the radius is increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minute) is oil flowing from the site of the accident?

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