A homeowner sets the thermostat so that the temperature in the house begins to drop from
at
p.m., reaches a low of
during the night, and rises back to
by
a.m. the next morning. Suppose that the temperature in the house is given by
for
where
is the number of hours past
p.m. Find the instantaneous rate of change of the temperature at midnight.
Since midnight is
hours past
p.m., we want to compute
Refer to
[link] .
The instantaneous rate of change of the temperature at midnight is
per hour.
A toy company can sell
electronic gaming systems at a price of
dollars per gaming system. The cost of manufacturing
systems is given by
dollars. Find the rate of change of profit when
games are produced. Should the toy company increase or decrease production?
The profit
earned by producing
gaming systems is
where
is the revenue obtained from the sale of
games. Since the company can sell
games at
per game,
Consequently,
Therefore, evaluating the rate of change of profit gives
Since the rate of change of profit
and
the company should increase production.
A coffee shop determines that the daily profit on scones obtained by charging
dollars per scone is
The coffee shop currently charges
per scone. Find
the rate of change of profit when the price is
and decide whether or not the coffee shop should consider raising or lowering its prices on scones.
The slope of the tangent line to a curve measures the instantaneous rate of change of a curve. We can calculate it by finding the limit of the difference quotient or the difference quotient with increment
The derivative of a function
at a value
is found using either of the definitions for the slope of the tangent line.
Velocity is the rate of change of position. As such, the velocity
at time
is the derivative of the position
at time
Average velocity is given by
Instantaneous velocity is given by
We may estimate a derivative by using a table of values.
Key equations
Difference quotient
Difference quotient with increment
Slope of tangent line
Derivative ofat
Average velocity
Instantaneous velocity
For the following exercises, use
[link] to find the slope of the secant line between the values
and
for each function
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?
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
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