Let P(t) be the percentage of Americans under the age of 18 at time t The table gives values of this function in census years from 1950 to 2010 (a) What is the meaning of P '(t) What are its units (b) Construct a table of estimated values for P '(t) (c) Graph P and P ' (d) How would it be possible ...

a P t is the rate at which the percentage of Americans under the age of 18 is changing with res ...

Let P(t) be the percentage of Americans under the age of 18 at time t. The table

Question:

Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2010.

P(t) P(t) 1990 1950 1960 1970 31.1 25.7 35.7 2000 25.7 34.0 2010 24.0 1980 28.0

(a) What is the meaning of P'(t)? What are its units?
(b) Construct a table of estimated values for P'(t).
(c) Graph P and P'.
(d) How would it be possible to get more accurate values for P'(t)?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Feb 26, 2019 10:44 AM

See More Questions

The population (in millions) of Americans under the age of 18 for years from 2016 and projected through 2050 is shown in the table. Construct a bar graph of the population for the given time...
The percentage of Americans who say they or their spouses have saved money for retirement decreased approximately steadily from 75% in 2009 to 66% in 2012. Find the approximate rate of change of this...
Let a be the percentage of program code that can be executed simultaneously by n computers in a cluster, each computer using a different set of parameters or initial conditions. Assume that the...
1) A survey of 200 public universities indicated that the 25th percentile of the yearly tuition cost of the universities was $4600 and the 75th percentile was $7100. The minimum value was $2000, the...
Superior Tire manufactures tires for all-terrain vehicles. Superior uses job costing and has a perpetual inventory system. On September 22, Superior received an order for 170 TX tires from ATV...
Construct boxplots to compare recent job growth rates with forecasted job growth rates for selected towns in the United States. These growth rates are all provided in the file P3_55.XLS. Do you...
You are standing on a bridge holding a rock $15.0 \mathrm{~m}$ above the water. (a) How many seconds after you let go of the rock do you hear it splash into the water? Take the speed of sound to be...
Record each of the following transactions in general journal form and then show the effect of the transaction in a horizontal statements model. The first transaction is shown as an example. a....
How do advances in high-throughput sequencing technologies and computational genomics facilitate the identification of genetic variants associated with complex traits and diseases, and what are the...
Read the case study and answer the question below with a one page response. What does a SWOT analysis reveal about the overall attractiveness of Under Armours situation? Founded in 1996 by former...
Sketch the graph of a function f that satisfies all of the following conditions: The domain of f is all real numbers except 0, for all x in the domain of lim f(x) = 1, lim f(x) = 0, f'(x) > 0 f, lim...
Let B(t) be the number of US $20 bills in circulation at time t. The table gives values of this function from 1990 to 2010, as of December 31, in billions. Interpret and estimate the value of...
Sample data were collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with measures of blood pressures. At the 0.05...
Consider an economy where the aggregate production function is characterized by the following equation: Y=2N^1/2. The labor supply curve is given by the following equation: Ns=8(W/P). Derive the...
Question 3 The following financial information relates to RG. Year Earnings per share in Net dividend per share Share price in cents cents 20X1 42 17 252 20X2 46 18 184 20X3 51 20 255 20X4 20X5 55 62...
A sample of collagen fiber with a cross-sectional area of 1.210 7 m 2 is hung from a fixed support, and a gradually increasing load is applied to the lower end. The tensile strength of collagen (i.e....
Consider an investment where the cash flows are: -$994.39 at time t= 0 (negative since this is your initial investment) $331 at time f = 1 in years $432 at time r = 2 in years $310 at time r = 3 in...
Economic Shelly and Ron are roommates. Their apartment has a fixed monthly rent, and a small water heater. Draw an Edgeworth box with rent on the horizontal axes and hot water on the vertical axes....
In 2010 the space shuttle program will be discontinued and thousands of NASA engineers and scientists will be affected. The Constellation program, which will succeed the space shuttle program, will...
As long as we can't lose any money, we have a risk-free investment." Discuss this comment. Q2: Both investing and gambling can be defined as "undertaking risk in order to earn a profit." Explain how...
Find the Maclurni series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...
Evaluate (ex / x dx as an infinite series?
(a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Graph f and Tn on a common screen. (c) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ( Tn(x)...
I. For each of the following functions, do the following: a. Determine if f is continuous at a. b. Determine if f is differentiable at a. 1. 5-6x if x3 f(x)=-4-x ifx>3 ; a=3 4. f(x)= x-9 if x <3 ;a=3...
Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit Fixed expense per...
Consider the simplest complex constellations of 8-PSK and 16-PSK which sends symbols along both the I and Q components, as shown in Fig. 1. Let E denote the average transmit power, and 2 the variance...

Let P(t) be the percentage of Americans under the age of 18 at time t. The table

Question:

P(t) P(t) 1990 1950 1960 1970 31.1 25.7 35.7 2000 25.7 34.0 2010 24.0 1980 28.0

Step by Step Answer:

a P t is the rate at which the percentage of Americans under the age of 18 is changing with res...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions