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i. A manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t)=6t2+5t/(t+1)2. what happens to production in the long run? ii. A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the rupture. It is difficult to directly measure the thickness of the slick at the source (where x=0), but for x>0, it is found that y=0.5(x2+3x)/x3+x2+4x. assuming that the oil slick is continuously distributed, how thick would you expect it to be at the source?

i. A manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t)=6t2+5t/(t+1)2. what happens to production in the long run? ii. A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the rupture. It is difficult to directly measure the thickness of the slick at the source (where x=0), but for x>0, it is found that y=0.5(x2+3x)/x3+x2+4x. assuming that the oil slick is continuously distributed, how thick would you expect it to be at the source?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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i. A manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t)=6t2+5t/(t+1)2. what happens to production in the long run?

ii. A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the rupture. It is difficult to directly measure the thickness of the slick at the source (where x=0), but for x>0, it is found that y=0.5(x2+3x)/x3+x2+4x. assuming that the oil slick is continuously distributed, how thick would you expect it to be at the source?

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