Chapter 11.2, Problem 58E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Blood pressure** Medical research has shown that between heartbeats, the pressure in the aorta of a normal adult is a function of time in seconds and can be modeled by the equation

(a) Use the derivative to find the rate at which the pressure is changing at any time *t.*

(b) Use the derivative to find the rate at which the pressure is changing after 0.1 second.

(c) Is the pressure increasing or decreasing?

**(a)**

To determine

**To calculate:** The rate of change of pressure with respect to time

Explanation

**Given Information:**

The provided function is

**Formula used:**

According to the property of differentiation, if a function is of the form

**Calculation:**

Consider the provided function,

Where

Differentiate both sides with respect to

**(b)**

To determine

**To calculate:** Rate of change of pressure for

**(c)**

To determine

Whether the pressure is increasing or decreasing.

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