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Chapter 1: Q29E (page 7)

A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four week period.

Short Answer

Expert verified

On Wednesday, the lawn is mowed. So, every Wednesday, the height of the grass is cut to a certain level. By the next week, it again grows up to the same level as before.

Step by step solution

01

Find the variation of the height of the grass in the four-week period

On Wednesday, the lawn is mowed. So, every Wednesday, the height of the grass is cut to a certain level. By the next week, it again grows up to the same level as before.

02

Sketch the variation of temperature 

The graph below represents the height of the grass as a function of time.

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Most popular questions from this chapter

Trees grow faster and form wider rings in warm years and grow more slowly and form narrower rings in cooler years. The figure shows the ring widths of a Siberian pine from 1500 to 2000.

(a) What is the range of the ring width function?

(b) What does the graph tend to say about the temperature of the earth? Does the graph reflect the volcanic eruptions of the mid-19th century?

15-18 determine whether the curve is the graph of a function of \(x\). If it is, state the domain and range of the function.

16.

In a certain country, income tax assessed as follows. There is no tax on income up to \(10,000. Any income over \)10,000 is taxed at a rate of 10%, up to an income of \(20,000. Any income over \)20,000 is taxed at 15%.

(a) Sketch the graph of the tax rate R as a function of the income I.

(b) How much tax is assessed on an income of \(14,000? On \)26,000?

(c) Sketch the graph of the total assessed tax T as a function of the income I.

Determine whether f is even, odd, or neither. You may wish to use a graphing calculator or computer to check your answer visually.

81.\(f\left( x \right) = \frac{x}{{{x^{\bf{2}}} + {\bf{1}}}}\)

Researchers measured the blood alcohol concentration (BAC) of eight adult male subjects after rapid consumption of 30 mL of ethanol (corresponding to two standard alcoholic drinks). The table shows the data they obtained by averaging the BAC (in g/dL) of the eight men.

  1. Use the readings to sketch a graph of the BAC as a function of\(t\).
  1. Use your graph to describe how the effect of alcohol varies with time.

\(t\)\(\left( {hours} \right)\)

\(BAC\)

\(t\)\(\left( {hours} \right)\)

\(BAC\)

0

0

1.75

0.022

0.2

0.025

2.0

0.018

0.5

0.041

2.25

0.015

0.75

0.040

2.5

0.012

1

0.033

3.0

0.007

1.25

0.029

3.5

0.003

1.5

0.024

4.0

0.001
See all solutions

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