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
