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- Algebra and trigonometry
- Polynomial and rational functions
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Graphical
For the following exercises, find the inverse of the function and graph both the function and its inverse.
For the following exercises, use a graph to help determine the domain of the functions.
Technology
For the following exercises, use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with
y -coordinates given.
Extensions
For the following exercises, find the inverse of the functions with
positive real numbers.
Real-world applications
For the following exercises, determine the function described and then use it to answer the question.
An object dropped from a height of 200 meters has a height,
in meters after
seconds have lapsed, such that
Express
as a function of height,
and find the time to reach a height of 50 meters.
5.53 seconds
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An object dropped from a height of 600 feet has a height,
in feet after
seconds have elapsed, such that
Express
as a function of height
and find the time to reach a height of 400 feet.
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The volume,
of a sphere in terms of its radius,
is given by
Express
as a function of
and find the radius of a sphere with volume of 200 cubic feet.
3.63 feet
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The surface area,
of a sphere in terms of its radius,
is given by
Express
as a function of
and find the radius of a sphere with a surface area of 1000 square inches.
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A container holds 100 mL of a solution that is 25 mL acid. If
mL of a solution that is 60% acid is added, the function
gives the concentration,
as a function of the number of mL added,
Express
as a function of
and determine the number of mL that need to be added to have a solution that is 50% acid.
250 mL
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The period
in seconds, of a simple pendulum as a function of its length
in feet, is given by
. Express
as a function of
and determine the length of a pendulum with period of 2 seconds.
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The volume of a cylinder ,
in terms of radius,
and height,
is given by
If a cylinder has a height of 6 meters, express the radius as a function of
and find the radius of a cylinder with volume of 300 cubic meters.
3.99 meters
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The surface area,
of a cylinder in terms of its radius,
and height,
is given by
If the height of the cylinder is 4 feet, express the radius as a function of
and find the radius if the surface area is 200 square feet.
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The volume of a right circular cone,
in terms of its radius,
and its height,
is given by
Express
in terms of
if the height of the cone is 12 feet and find the radius of a cone with volume of 50 cubic inches.
1.99 inches
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Questions & Answers
classification of plants, gymnosperm features.
what is the features of gymnosperm
Linsy
how many types of solid did we have
what is an ionic bond
Samuel
what is fallopian tube
Merolyn
what's bulbourethral gland
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium
Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ.
The term pathogen came into use in the 1880s.[1][2
Zainab
Definition of respiration
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
what are the functions of follicle stimulating harmones?
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
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Source:
OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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