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38.5000 kph < 38.5199 kph
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

The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Recall that the area of a triangle is given by:

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

We can write the following ratios:

Solve for <em>x</em> and <em>y</em>:

Substitute:

And simplify. Hence:

In conclusion, our answer is D.