60 miles per hour is the speed
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Answer:
The variable c represents the domain as it is the independent variable.
The domain of the function F(c) is given by c ≥ 0.
So, only positive values for the input make sense.
The upper limit of the domain is +∞ and lower limit is 0.
It is not possible for the team to earn $50.50 as it will be only multiple of 2.
Step-by-step explanation:
If F(c) represents the earning of a volleyball team from selling c cupcakes and each cupcake costs $2 each, then the equation that models the situation is
F(c) = 2c ..... (1)
The variable c represents the domain as it is the independent variable. (Answer)
The domain of the function F(c) is given by c ≥ 0. (Answer)
So, only positive values for the input make sense. (Answer)
The upper limit of the domain is +∞ and the lower limit is 0. (Answer)
It is not possible for the team to earn $50.50 as it will be only multiple of 2. (Answer)
Let
. Then


and substituting these into the ODE gives



Let
, so that
. Then the ODE is linear in
, with

Multiply both sides by
, so that the left side can be condensed as the derivative of a product:

Integrating both sides and solving for
gives

Integrate again to solve for
:

and finally, solve for
by multiplying both sides by
:

already accounts for the
term in this solution, so the other independent solution is
.
We are given
The value -2 is a lower bound for the zeros of the function shown below f(x)=4x^3-12x^2-x+15
So, firstly, we will find value of f(x) at x=-2
we will plug x=-2 into f(x)
we get

we will plug x=-2

now, we can simplify it


so,

we know that any zeros always lies between positive and negative value
Here , we got f(-3)=-63 ...which is negative value
so, this is lower bound
Hence , this is TRUE