The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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Complete Question
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Answer:
answer is 1 x( x-4) ok to mmma abhi tak school ki chuti h or bina kisi ne bhi roka aur wo phle h to time but only a few days after lady Catherine visit the gentleman arrived early in the given it most unwillingly
The solution of y= 
given as:
x: 0 1 2 3
y: 0 3 10 21
<h3>What is Linear Equation?</h3>
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given function is:
y=
For finding the solution of above expression, take value of x and solve for y.
y= 2(0)+0
y=0
y= 
y=
y= 
The required table is:
x: 0 1 2 3
y: 0 3 10 21
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Answer:
I hope this answer is correct
Step-by-step explanation:
This generation represents a large portion of the current population. As they age, they will cause changes to the economy. The population has grown considerably, but the rate has slowly declined.
