   Chapter 11, Problem 25RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Demographics Using U.S. Census Bureau data for selected years from 1980 and projected to 2040, the number of White non-Hispanic individuals in the U.S. civilian non-institutional population age 16 years or older, in millions, can be modeled by the function p ( t ) = 96.1 + 17.4  In  t ln t where t is the number of years past 1970.(a) Find P ' ( t ) .(b) Find and interpret P ( 58 )  and  P ' ( 58 ) .

(a)

To determine

To calculate: The P(t) if the number of white non-Hispanic individuals in the U.S. civilian non-institutional population age 16 years or older, in millions can be modeled by the function P(t)=96.1+17.4lnt.

Explanation

Given Information:

The number of white non-Hispanic individuals in the U.S. civilian non-institutional population age 16 years or older, in millions can be modeled by the function is;

P(t)=96.1+17.4lnt

Formula used:

The derivative of function f(x)=ln(x) is given by;

f(x)=1x

And derivative of constant function is zero.

Calculation:

The number of white non-Hispanic individuals in the U.S. civilian non-institutional population age 16 years or older, in millions can be modeled by the function is;

P(t)=96.1+17.4lnt

Where t is the number of years past 1970

(b)

To determine

To calculate: The P(58), P(58) and interpret if the number of white non-Hispanic individuals in the U.S. civilian non-institutional population age 16 years or older, in millions can be modeled by the function P(t)=96.1+17.4lnt.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### find the real roots of each equation by factoring. 132. 6x2 + x + 12 = 0

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Evaluate the limit. limx(x)cscx

Single Variable Calculus: Early Transcendentals, Volume I

#### Find for y defined implicity by .

Study Guide for Stewart's Multivariable Calculus, 8th 