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:
46.6 mph
Step-by-step explanation:
1 Kph is .6213 mph
Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when
given that 
<u>Part B</u>
A vertical compression takes place when
given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of
must be negative such that
as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
the question is not so clear
is it (x+3)/3 or what you have written is correct
Step-by-step explanation:
Answer:
A) 113 m²
Step-by-step explanation:
Use the formula for area of a circle.
Area of a circle = πr²
π = pi = 3.14 (rounded)
r = radius
² = the power of 2, or the radius (in this case) multiplied by itself.
Note that the radius is given, and it is 6. Plug in 6 for the radius:
A (circle) = π(6)²
First, solve the power. Multiply 6²:
6² = 6 * 6 = 36
Next, multiply 36 with π (3.14):
36 x 3.14 = 113.04
A) 113 m² is your closest answer.
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