Q4 (i) A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t) What happens to production in the long run ? 6t2 + 5t (t + 1)2 * (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0), but for x > 0, it is found that 0.5(x2 + 3x) Assuming the oil slick is continuously distributed, how y = x3 + x2 + 4x thick would you expect it to be at the source?
Q4 (i) A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t) What happens to production in the long run ? 6t2 + 5t (t + 1)2 * (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0), but for x > 0, it is found that 0.5(x2 + 3x) Assuming the oil slick is continuously distributed, how y = x3 + x2 + 4x thick would you expect it to be at the source?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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Transcribed Image Text:Q4
(i) A business manager determines that t months after production begins on a new product,
the number of units produced will be P thousand, where P(t)
What happens to production in the long run ?
6t2 + 5t
(t + 1)2 *
(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a
distance x meters from the rupture. Turbulence makes it difficult to directly measure the
thickness of the slick at the source (where x = 0), but for x > 0, it is found that
0.5(x2 + 3x)
Assuming the oil slick is continuously distributed, how
y =
x3 + x2 + 4x
thick would you expect it to be at the source?
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