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- Calculus volume 1
- Functions and graphs
- Exponential and logarithmic
[T] The concentration of hydrogen ions in a substance is denoted by
measured in moles per liter. The pH of a substance is defined by the logarithmic function
This function is used to measure the acidity of a substance. The pH of water is 7. A substance with a pH less than 7 is an acid, whereas one that has a pH of more than 7 is a base.
- Find the pH of the following substances. Round answers to one digit.
- Determine whether the substance is an acid or a base.
- Eggs:
mol/L
- Beer:
mol/L
- Tomato Juice:
mol/L
i. a. pH = 8 b. Base ii. a. pH = 3 b. Acid iii. a. pH = 4 b. Acid
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[T] Iodine-131 is a radioactive substance that decays according to the function
where
is the initial quantity of a sample of the substance and
t is in days. Determine how long it takes (to the nearest day) for 95% of a quantity to decay.
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[T] According to the World Bank, at the end of 2013 (
) the U.S. population was 316 million and was increasing according to the following model:
where
P is measured in millions of people and
t is measured in years after 2013.
- Based on this model, what will be the population of the United States in 2020?
- Determine when the U.S. population will be twice what it is in 2013.
a.
million b. 94 years from 2013, or in 2107
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[T] The amount
A accumulated after 1000 dollars is invested for
t years at an interest rate of 4% is modeled by the function
- Find the amount accumulated after 5 years and 10 years.
- Determine how long it takes for the original investment to triple.
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[T] A bacterial colony grown in a lab is known to double in number in 12 hours. Suppose, initially, there are 1000 bacteria present.
- Use the exponential function
to determine the value
which is the growth rate of the bacteria. Round to four decimal places.
- Determine approximately how long it takes for 200,000 bacteria to grow.
a.
b.
hours
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[T] The rabbit population on a game reserve doubles every 6 months. Suppose there were 120 rabbits initially.
- Use the exponential function
to determine the growth rate constant
Round to four decimal places.
- Use the function in part a. to determine approximately how long it takes for the rabbit population to reach 3500.
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[T] The 1906 earthquake in San Francisco had a magnitude of 8.3 on the Richter scale. At the same time, in Japan, an earthquake with magnitude 4.9 caused only minor damage. Approximately how much more energy was released by the San Francisco earthquake than by the Japanese earthquake?
The San Francisco earthquake had
times more energy than the Japan earthquake.
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Chapter review exercises
True or False ? Justify your answer with a proof or a counterexample.
For the following problems, state the domain and range of the given functions:
Questions & Answers
evolutionary history and relationship of an organism or group of organisms
AI-Robot
the study of living organisms and their interactions with one another and their environments
AI-Robot
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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Source:
OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2
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