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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
differentiate between demand and supply
giving examples
differentiated between demand and supply using examples
Lambiv
how is the graph works?I don't fully understand
hi guys good evening to all
Lambiv
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
Can I ask you other question?
Shukri
What is different between quantity demand and demand?
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
how do you save a country economic situation when it's falling apart
what is the difference between economic growth and development
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
any question about economics?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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