Question

A
chemical is being injected into a cleaning system so thats its
concentration after t minutes is C(t)= 3t/27+t^3. at what time is
the concentration greatest, and how much is it then?

Answer #1

After injection of a dose ? of insulin, the concentration of
insulin in a patient's system decays exponentially and so it can be
written as ??−??, where ? represents time in hours and ? is a
positive constant. This represents the residual concentration
(remaining in the patient) ? hours after injection.
(a) If a dose ? is injected every ? hours, write an expression
for the sum of the residual concentrations just before the (?+1)st
injection.
(b) Determine the pre-injection...

The
concentration of a drug in body fluids depends on the time (t)
elapsed after its administration. Assume that after 4 hours, 60% of
the drug remains in the body and that the amount of drug decreases
exponentially. How much drug is left after 6 hours? How long should
it take for only 10% of the drug to remain?

In a certain memory experiment, a person is able to memorize M
words after t minutes, where
?(?) = −0.001?^3+ 0.1?^2
a) How many words are memorized after 10 minutes (at ? =
10)?
b) Find the rate of change of the number of words memorized
with respect to t.
c) At what rate are words being memorized after 10 minutes (at
? = 10)?
d) At what rate are words being memorized after 20 minutes (at
? = 20)?

the concentration of a medicine in the bloodstream after t hours
of taking it is given by the equation c(t)=.1t/(t+3)^2 where t is
the elapsed time in hours measured from 11am what is the maximum
concentration

Two chemical substances A and B react to form a chemical
substance C. The reaction rate is proportional to the product of
the quantities of A and B that have not reacted at an instant t.
Initially there are 100 grams of A and 60 grams of B, in addition
for each 2g of B 3g of A is required. It is observed that after 5
minutes 25g of C have been formed. How many grams of C will there...

The following is known about the reaction below:
Chemical reaction: 2A-->2B
The order of A is second order
If you start out with 2.75 M of A, after 5 minutes you will have
2.00M
From these facts, determine:
a) the rate law constant, K
b) the first half life
c) from time 0, how long will it take to reach 25% of the
original concentration of A
d) what is the concentration of A after 10 minutes?

1. The number of computers infected by a virus t minutes after
it first appears usually increases exponentially. In 2000, “Love
Bug” virus spread from 100 computers to about 1,000,000 computers
in 2 hours (120 minutes).
a) Find the growth rate k.
b) Give the differential equation for the number P(t) of
computers infected after t minutes.
c) How fast was the virus spreading when 1,000,000 computers
were infected?
2. Find the slope of the tangent line to the graph...

A 3.00-kg particle starts from the origin at time zero. Its
velocity as a function of time is given by v = (3t^2) i+ (2t) j
where v is in meters per second and t is in seconds.
(a) Find its position at t = 1s.
(b) What is its acceleration at t = 1s ?
(c) What is the net force exerted on the particle at t = 1s
?
(d) What is the net torque about the origin...

(1 point) Two chemicals A and B are combined to form a chemical
C. The rate of the reaction is proportional to the product of the
instantaneous amounts of A and B not converted to chemical C.
Initially there are 75 grams of A and 24 grams of B, and for each
gram of B, 1.7 grams of A is used. It has been observed that 24.75
grams of C is formed in 15 minutes. How much is formed in...

The temperature of a cup of coﬀee t minutes after it is poured
and placed on the kitchen table is given by: Ct= 77 + 110·e-0.04t
where C(t) is in degrees Fahrenheit. (a) What is the initial
temperature of the coﬀee when it is poured? Explain. (b) In order
to safely drink the coﬀee, it must be less than 150 degrees
Fahrenheit and greater than 110 degrees Fahrenheit. When will the
temperature of the coﬀee reach between 150 degrees F...

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