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- Precalculus
- 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
how to create a software using Android phone
what is the difference between C and C++.
software is a instructions like programs
Shambhu
what is the difference between C and C++.
Yan
what is software engineering
Ahmad
software engineering is a the branch of computer science deals with the design,development, testing and maintenance of software applications.
Hayder
who is best bw software engineering and cyber security
Ahmad
Both software engineering and cybersecurity offer exciting career prospects, but your choice ultimately depends on your interests and skills. If you enjoy problem-solving, programming, and designing software syste
Hayder
what's software processes
I haven't started reading yet. by device (hardware) or for improving design Lol? Here. Requirement, Design, Implementation, Verification, Maintenance.
Vernon
I can give you a more valid answer by 5:00 By the way gm.
Vernon
it is all about designing,developing, testing, implementing and maintaining of software systems.
Ehenew
hello assalamualaikum
Sami
My name M Sami I m 2nd year student
Sami
what is the specific IDE for flutter programs?
jegudgdtgd my Name my Name is M and I have been talking about iey my papa john's university of washington post I tagged I will be in
Show the necessary steps with description in resource monitoring process (CPU,memory,disk and network)
What is software engineering
Software engineering is a branch of computer science directed to writing programs to develop Softwares that can drive or enable the functionality of some hardwares like phone , automobile and others
kelvin
if any requirement engineer is gathering requirements from client and after getting he/she Analyze them this process is called
The following text is encoded in base 64.
Ik5ldmVyIHRydXN0IGEgY29tcHV0ZXIgeW91IGNhbid0IHRocm93IG91dCBhIHdpbmRvdyIgLSBTdGV2ZSBXb3puaWFr
Decode it, and paste the decoded text here
what to do you mean
Vincent
What is the command to list the contents of a directory in Unix and Unix-like operating systems
how can i make my own software free of cost
The name of the author of our software engineering book is Ian Sommerville.
the set of intruction given to the computer to perform a task
Noor
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Source:
OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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