Answer:
The dimensions are 18 * 18 * 36in
Step-by-step explanation:
Let the lengths of the square ends be x in and the length be y in.
Then the maximum length + girth
= 4x + y = 108in
The volume V = x^2y.
From the first equation:
y = 108 - 4x
so V = x^2(108 - 4x)
= 108x^2 - 4x^3
Finding the derivative:
V' = 216x - 12x^2 = 0 ( for a maximum volume).
12x( 18 - x) = 0
x = 18
So the value for x for a maximum volume = 18 in
This gives y = 108 - 4(18) = 36 in.
Answer:
-7/-24 or 7/24 simplefied
Step-by-step explanation:
Answer:
the one in the lower right corner
Step-by-step explanation:
it has an exponent of 3 and the rest are an exponent of 2
Answer:
x^4- x^3- 4x^2-3
Step-by-step explanation:
Given
f(x)= x^4- x^2+9
And
g(x)= x^(3 )+ 3x^2+12
We have to find
(f-g)(x)= ?
The operations on functions are as easy as the operations on numbers or polynomials.
We have to subtract the functions to find the above mentioned operation.
=(f-g)(x)=f(x)-g(x)
(f-g)(x)=[x^4- x^2+9]-[x^(3 )+ 3x^2+12]
The minus will change the signs of function g.
= x^4- x^2+9- x^(3 )- 3x^2-12
= x^4- x^3- x^2- 3x^2+9-12
=x^4- x^3- 4x^2-3
Answer:
T(h)=40h+20
Step-by-step explanation:
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