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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
number of sport play by 50 student construct discrete data
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Solve the mean of variance
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
kenneth
Is mistake done to something
Vutshila
What is the life teble
anas
statistics is the analyzing of data
how do you calculate mean
diveving the sum if all values
Shaynaynay
let A1,A2 and A3 events be independent,show that (A1)^c, (A2)^c and (A3)^c are independent?
data collected all over the world
Shaynaynay
construct a less than and more than table
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits
Akshay
Sorry i want to learn more about this question
Bright
a= 0.20233
b=0.3384
Sufiyan
How do I interpret level of significance?
It depends on your business problem or in Machine Learning you could use ROC- AUC cruve to decide the threshold value
Shivam
how skewness and kurtosis are used in statistics
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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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