Answer:i would say the answer is A
Step-by-step explanation:its my personal opinion i hope it helps
I assume you're looking for the sum.
I would use the null property to eliminate 0
34+0+18+26
=34+18+26
then use commutativity to rearrange
=34+26 + 18
Add 34+26=60
=60+18
=78
Answer:
<em>The equation of the Parabola</em>
<em>(y - 6 )² = 8 (x -6)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
<u><em>Step(ii):-</em></u>
<em>The equation of the Parabola ( h,k) = (6 , 6)</em>
<em>( y - k )² = 4 a ( x - h )</em>
<em>(y - 6 )² = 4 (2) (x -6)</em>
<em>(y - 6 )² = 8 (x -6)</em>
<u><em></em></u>
Given: Sarah can fit 7 sweaters in a box
She has 38 sweaters
the remaining sweaters will stack on the shelf in the closet.
By dividing 38 by 7 we will get:

So, she will need 5 boxes, she will put 35 sweaters in 5 boxes
The remaining sweaters = 38 - 35 = 3 sweaters
So, the answer is: 3 sweaters will go in her closet
Let

Differentiating twice gives


When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:


Then the coefficients in the power series solution are governed by the recurrence relation,

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then




It should be easy enough to see that

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then




so that

So, the overall series solution is

