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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
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
what is the change in momentum of a body?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
physics, biology and chemistry
this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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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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