3t/4=2p/5 solve for p
p=15t/8
p=1.875 tons of sand
Answer:
y=12x-16
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Take the homogeneous part and find the roots to the characteristic equation:
This means the characteristic solution is
.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With
and
, you're looking for a particular solution of the form
. The functions
satisfy
where
is the Wronskian determinant of the two characteristic solutions.
So you have
So you end up with a solution
but since
is already accounted for in the characteristic solution, the particular solution is then
so that the general solution is
5 because 25 divided by 5 is 5
Step-by-step explanation:
l = 3x - 5
w = 2x + 9
perimeter = 2l + 2w = 2(3x - 5) + 2(2x + 9) =
= 6x - 10 + 4x + 18 = 10x + 8
area = l×w = (3x - 5)(2x + 9) = 6x² + 27x - 10x - 45 =
= 6x² + 17x - 45