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Cardiology The aortic pressure-diameter relation in a

Chapter 5, Problem 56A

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QUESTION:

Problem 56A

Cardiology The aortic pressure-diameter relation in a particular patient who underwent cardiac catheterization can be modeled by the polynomial

D(p) = 0.000002p3 − 0.0008p2 + 0.1141p + 16.683,

55 ≤p ≤ 130,

where D(p) is the aortic diameter (in millimeters) and p is the aortic pressure (in mmHg). Determine where this function is increasing and where it is decreasing within the interval given above. Source: Circulation.

Questions & Answers

QUESTION:

Problem 56A

Cardiology The aortic pressure-diameter relation in a particular patient who underwent cardiac catheterization can be modeled by the polynomial

D(p) = 0.000002p3 − 0.0008p2 + 0.1141p + 16.683,

55 ≤p ≤ 130,

where D(p) is the aortic diameter (in millimeters) and p is the aortic pressure (in mmHg). Determine where this function is increasing and where it is decreasing within the interval given above. Source: Circulation.

ANSWER:

Solution:-

Step 1 of 4

Given that

We have to determine where this function is increasing and where it is decreasing within the interval given above.

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