Solution :
Given :
2y''' + 15y'' + 24y' + 11y= 0
Let x = independent variable
is a differential equation.
If 
It is non homogeneous then,
The general solution = complementary solution + particular integral
If Q(x) = 0
It is called the homogeneous then the general solution = complementary solution.
2y''' + 15y'' + 24y' + 11y= 0
Auxiliary equation,
-1 | 2 15 24 11
<u> | 0 -2 - 13 -11 </u>
2 13 11 0
∴ 
The roots are
So, 
Then the general solution is :
Let 4x = the girth (each side = x) Let y = the length
4x + y = 114 maximum y = 114 - 4x
volume = x^2 * y v = x^2 * (114 - 4x) v = 114x^2 - 4x^3 . . . . . . v is maximum (or minimum) when it's derivative = 0 v ' = 228x - 12x^2
228x - 12x^2 = 0 12x * (19 - x) = 0
x = 0 <=== this is obviously a minimum volume or x = 19 inches <=== for maximum volume
4x + y = 1144*19 + y = 114y = 38 <===
The largest volume is 19 x 19 x 38
Answer:
I think Letter E
Step-by-step explanation:
Because all r negative numbers
Lets begin with an example.
You have 100 apples. 40 % of your apples are 40. Sounds complicated?
Here is the calculation in words, number of apples times 40 percentage.
By equation: 100 * 40/100= 40. Simple huh?
% symbol represents 100.
% 15 equals 15/100; 20% is equal to 20/100 or 1/5 in a simplified way.
Have a look to question. 40 iris at last year, 15 % MORE iris this year.
What is the 15 % of 40 iris? That's the question at the end.
Recall apple example at the beginning.
40 iris * 15/100 = 6.
So, there are 6 MORE iris blooms this year. This year Savanna has totally 46 iris.
Answer:
Cant see the picture sorry
Step-by-step explanation:
