3 years ago

What is the dependent variable and what is the independent variable?

1 answer:

7 0

<span>If an equation shows a relationship between x and y in which the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.</span>

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What is the volume of the largest box that can be made from a square piece of cardboard with side lengths of 24 inches by cuttin

SVEN [57.7K]

You need to subtract the two cutouts on each side, so the side of the box would be 24- 2x. X would then become the height of the box once folded.

The volume is found by multiplying the 4 dimensions:

The volume becomes x(24-2x)^2

Now take the derivative of the formula to solve for x

Dv/dx= (24-2x)^2 + x^2(24-2x)*-2

= 24-2x(24-2x-4x)=0

X =12 or 4

24-2x = 24-2(4) = 24-8=16

Volume = 16 x 16 x 4 = 1024 cubic inches.