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- Exponential and logarithmic
- Fitting exponential models to
Use a graphing utility to find an exponential regression formula
and a logarithmic regression formula
for the points
and
Round all numbers to 6 decimal places. Graph the points and both formulas along with the line
on the same axis. Make a conjecture about the relationship of the regression formulas.
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Verify the conjecture made in the previous exercise. Round all numbers to six decimal places when necessary.
First rewrite the exponential with base
e :
Then test to verify that
taking rounding error into consideration:
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Use the result from the previous exercise to graph the logistic model
along with its inverse on the same axis. What are the intercepts and asymptotes of each function?
The graph of
has a
y -intercept at (0, 4) and horizontal asymptotes at
y = 0 and
y = 20. The graph of
has an
x - intercept at (4, 0) and vertical asymptotes at
x = 0 and
x = 20.
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Chapter review exercises
Determine whether the function
represents exponential growth, exponential decay, or neither. Explain
exponential decay; The growth factor,
is between
and
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The population of a herd of deer is represented by the function
where
is given in years. To the nearest whole number, what will the herd population be after
years?
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Determine whether
[link] could represent a function that is linear, exponential, or neither. If it appears to be exponential, find a function that passes through the points.
x |
1 |
2 |
3 |
4 |
f(x) |
3 |
0.9 |
0.27 |
0.081 |
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Hsu-Mei wants to save $5,000 for a down payment on a car. To the nearest dollar, how much will she need to invest in an account now with
APR, compounded daily, in order to reach her goal in
years?
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Suppose an investment account is opened with an initial deposit of
earning
interest, compounded continuously. How much will the account be worth after
years?
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Graph the function
State the domain and range and give the
y -intercept.
domain: all real numbers; range: all real numbers strictly greater than zero;
y -intercept: (0, 3.5);
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The graph of
is reflected about the
y -axis and stretched vertically by a factor of
What is the equation of the new function,
State its
y -intercept, domain, and range.
y -intercept:
Domain: all real numbers; Range: all real numbers greater than
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Questions & Answers
I'm interested in biological psychology and cognitive psychology
what does preconceived mean
How can I develope my cognitive domain
why is communication effective
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
compare and contrast skinner's perspective on personality development on freud
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
interpersonal relationships
What would be the best educational aid(s) for gifted kids/savants?
treat them normal, if they want help then give them.
that will make everyone happy
Saurabh
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Source:
OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
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