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- Derivatives as rates of change
The position function
gives the position in miles of a freight train where east is the positive direction and
is measured in hours.
- Determine the direction the train is traveling when
- Determine the direction the train is traveling when
- Determine the time intervals when the train is slowing down or speeding up.
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The following graph shows the position
of an object moving along a straight line.
- Use the graph of the position function to determine the time intervals when the velocity is positive, negative, or zero.
- Sketch the graph of the velocity function.
- Use the graph of the velocity function to determine the time intervals when the acceleration is positive, negative, or zero.
- Determine the time intervals when the object is speeding up or slowing down.
a. Velocity is positive on
negative on
and zero on
b.
c. Acceleration is positive on
negative on
and zero on
d. The object is speeding up on
and slowing down on
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The cost function, in dollars, of a company that manufactures food processors is given by
where
is the number of food processors manufactured.
- Find the marginal cost function.
- Find the marginal cost of manufacturing 12 food processors.
- Find the actual cost of manufacturing the thirteenth food processor.
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The price
(in dollars) and the demand
for a certain digital clock radio is given by the price–demand function
- Find the revenue function
- Find the marginal revenue function.
- Find the marginal revenue at
and
a.
b.
c. $6 per item, $0 per item
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[T] A profit is earned when revenue exceeds cost. Suppose the profit function for a skateboard manufacturer is given by
where
is the number of skateboards sold.
- Find the exact profit from the sale of the thirtieth skateboard.
- Find the marginal profit function and use it to estimate the profit from the sale of the thirtieth skateboard.
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[T] In general, the profit function is the difference between the revenue and cost functions:
Suppose the price-demand and cost functions for the production of cordless drills is given respectively by
and
where
is the number of cordless drills that are sold at a price of
dollars per drill and
is the cost of producing
cordless drills.
- Find the marginal cost function.
- Find the revenue and marginal revenue functions.
- Find
and
Interpret the results.
- Find the profit and marginal profit functions.
- Find
and
Interpret the results.
a.
b.
c.
At a production level of 1000 cordless drills, revenue is increasing at a rate of $83 per drill; at a production level of 4000 cordless drills, revenue is decreasing at a rate of $97 per drill. d.
e.
At a production level of 1000 cordless drills, profit is increasing at a rate of $18 per drill; at a production level of 4000 cordless drills, profit is decreasing at a rate of $162 per drill.
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Questions & Answers
how does Neisseria cause meningitis
is the branch of biology that deals with the study of microorganisms.
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
How bacteria create energy to survive?
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
which site have a normal flora
Many sites of the body have it
Skin
Nasal cavity
Oral cavity
Gastro intestinal tract
Safaa
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Binomial nomenclature
adeolu
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Source:
OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2
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