The pressure of the oil in a reservoir tends to drop with time. By taking sample pressure readings for a particular oil reservoir, petroleum engineers have found that the change in pressure is given by the function P(t) = t³ - 8t² + 16t, where t is time in years from the date of the first reading. (a) Find the following: P(0), P(2), P(3), P(5) (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing? C

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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The pressure of the oil in a reservoir tends to drop with time. By taking sample pressure readings for a particular oil reservoir, petroleum engineers have found that the change in pressure is given by
the
(a) Find the following: P(0), P(2), P(3), P(5)
function P(t) = t³ - 8t² + 16t, where t is time in years from the date of the first reading.
(b) Graph P(t)
(c) Over what period is the change (drop) in pressure increasing? decreasing?
(a) Evaluate P(0), P(2), P(3), and P(5)
P(0) =
Transcribed Image Text:.3 The pressure of the oil in a reservoir tends to drop with time. By taking sample pressure readings for a particular oil reservoir, petroleum engineers have found that the change in pressure is given by the (a) Find the following: P(0), P(2), P(3), P(5) function P(t) = t³ - 8t² + 16t, where t is time in years from the date of the first reading. (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing? (a) Evaluate P(0), P(2), P(3), and P(5) P(0) =
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