To maintain her income, Susan must work 50 hours each week. Susan works 7 hours on Monday, Tuesday, and Wednesday, and 8 hours o
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The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than . for example, if an initial population P₀ requires n units of time to triple, then the function
models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form .
Answer: a)
b) P(t) = 280 insects
c) t = 74 days
d)
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
b) In t = 47 days:
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
Using the property <u>Power</u> <u>Rule</u> of logarithm:
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
Use Power Rule again:
k = 0.037
Equation for exponential growth will be:
Yay, I like das stuff
I think I learned the washer method
goes like this
ok, so
actuallly, this is easier
y=49-x^2 and
y=0
see when they intersect again
they intersect at -7 and 7
if we do integrate from -7 to 7, then it wil give 0 (because integration is area under the curve), so note that they are same both sides so integrate from 0 to 7 then double the volume to get both sides
so it can't be C or D
It also can'nt be A because it should not be multipied by 4, it should be multipied by 2
basically, we don't need the washer method
remember, area=pir^2
the disk method then
we are summing up all the radii disks and squareing them
but doubleing them so
no idea why we need the inside part to be x(49-x^2), that is intersting
I think I learned the washer method
goes like this
ok, so
actuallly, this is easier
y=49-x^2 and
y=0
see when they intersect again
they intersect at -7 and 7
if we do integrate from -7 to 7, then it wil give 0 (because integration is area under the curve), so note that they are same both sides so integrate from 0 to 7 then double the volume to get both sides
so it can't be C or D
It also can'nt be A because it should not be multipied by 4, it should be multipied by 2
basically, we don't need the washer method
remember, area=pir^2
the disk method then
we are summing up all the radii disks and squareing them
but doubleing them so
no idea why we need the inside part to be x(49-x^2), that is intersting