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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