We are given
Staples sells pencils in packs of 12 pencils for 3.50
so, staples cost is
per pencil
per pencil
Office max sells pencils in packs of 15 pencils for 6.50
so, office max cost is
per pencil
per pencil
now, we can find their differences
per pencil
per pencil............Answer
Answer:
Domain are any value of x that's make y to be defined
Answer:
that statement is not true
Step-by-step explanation:
64=[(96÷8)5}-42
64={(12)5} - 42
64= (60)-42
64=18
but that with subtraction. if you multiply 60 by negative 42 you get -2520 which is still not true
A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)
Check if the equation is exact, which happens for ODEs of the form

if
.
We have


so the ODE is not quite exact, but we can find an integrating factor
so that

<em>is</em> exact, which would require


Notice that

is independent of <em>x</em>, and dividing this by
gives an expression independent of <em>y</em>. If we assume
is a function of <em>x</em> alone, then
, and the partial differential equation above gives

which is separable and we can solve for
easily.




So, multiply the original ODE by <em>x</em> on both sides:

Now


so the modified ODE is exact.
Now we look for a solution of the form
, with differential

The solution <em>F</em> satisfies


Integrating both sides of the first equation with respect to <em>x</em> gives

Differentiating both sides with respect to <em>y</em> gives


So the solution to the ODE is

