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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 function P(t)=t-32t² +256t, where t is time in years from the date of the first reading. (a) Find the following: P(0), P(4), P(7), P(17) (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing?

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)=t-32t² +256t, where t is time in years from the date of the first reading. (a) Find the following: P(0), P(4), P(7), P(17) (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 function P(t)=t-32t² +256t, where t is time in years from the date of the first reading. (a) Find the following: P(0), P(4), P(7), P(17) (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing? (a) Evaluate P(0), P(4), P(7), and P(17) P(0)= P(4)= P(7)= P(17)= (b) Choose the correct graph below. 610 610- WUNN 610 610 1620 610 610- CARRO 1630 (c) Over what periods is the graph increasing and decreasing. OA. Increases from 0 to 16/3 years and again after the 17th year. Decreases from 16/3 to 17 years. B. Decreases from 0 to 16/3 years and again after the 17th year. Increases from 16/3 to 17 years. OC. Decreases from 0 to 16/3 years and again after the 16th year. Increases from 16/3 to 16 years. D. Increases from 0 to 16/3 years and again after the 16th year. Decreases from 16/3 to 16 years. D. 610- 610 1620
Transcribed Image Text: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)=t-32t² +256t, where t is time in years from the date of the first reading. (a) Find the following: P(0), P(4), P(7), P(17) (b) Graph P(t) (c) Over what period is the change (drop) in pressure increasing? decreasing? (a) Evaluate P(0), P(4), P(7), and P(17) P(0)= P(4)= P(7)= P(17)= (b) Choose the correct graph below. 610 610- WUNN 610 610 1620 610 610- CARRO 1630 (c) Over what periods is the graph increasing and decreasing. OA. Increases from 0 to 16/3 years and again after the 17th year. Decreases from 16/3 to 17 years. B. Decreases from 0 to 16/3 years and again after the 17th year. Increases from 16/3 to 17 years. OC. Decreases from 0 to 16/3 years and again after the 16th year. Increases from 16/3 to 16 years. D. Increases from 0 to 16/3 years and again after the 16th year. Decreases from 16/3 to 16 years. D. 610- 610 1620
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