Find the product of 3/14 of 10/9
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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 volume of the sawdust pile is 11,039.06 ft³.
<h3>What is the volume of the pile?</h3>
The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.
Diameter = k x height
where k is equivalent to the rate of increase of the diameter with respect to the increase in height.
25= k20
k = 25 / 20
k = 1.25
Diameter when height is 30 ft = 1.25x 30 = 35.50 feet
Volume of the sawdust = πr²h
Where:
- π = 3.14
- r = radius = diameter / 2 = 35.50 / 2 = 18.75
- h = 30
x 3.14 x 18.75² x 30 = 11,039.06 ft³
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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