Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is

Differentiating with respect to x

Again differentiating with respect to x

Putting the value of y, y' and y'' in left side of the differential equation


The auxiliary equation is




The complementary function is

y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral

[since
]
[ replace D by 0 , since L(0)≠0]

The complete solution is
y= C.F+P.I

Answer:
c > -5
Step-by-step explanation:
-5c + 2 < 27
- 2 - 2 Subtract 2 from both sides
-5c < 25 Divide both sides by -5 and flip the sign
c > -5
I graphed the inequality on the graph below.
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Answer:
2,3,5,then the last one
Step-by-step explanation:
Answer:
The total number of audience members is 1800.
Step-by-step explanation:
In order to find this, we need to divide the number of teenagers by the percentage share.
360/.2 = 1800