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2 years ago

Please help me. Thank you...

Mathematics

1 answer:

bekas [8.4K]2 years ago

4 0

9514 1404 393

Answer:

V = (x)(10-2x)² . . . . factored form

V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

V = LWH = (10-2x)(10-2x)(x)

V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

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compare the right-hand and left-hand derivatives to show that the function is not differentiable at the point P. find all points

Softa [21]

$f(x)= \left \{ {{ \sqrt{x} } \atop {2x-1}} \right. 
\\
\\ f'(x)= \left \{ {{ \frac{1}{2\sqrt{x}} } \atop {2}} \right. 
\\
\\ f'(1)= \left \{ {{ \frac{1}{2}} \atop {2}} \right. 
\\
\\ f'(1^-) \neq f'(1^+)$

Therefore, the function is not differentiable at x = 1.

$f(x)= \sqrt{x} 
\\
\\f'(x)= \frac{1}{2 \sqrt{x} } 
\\
\\f'(0)=\frac{1}{2 \sqrt{0} } = \infty$

Therefore, the function is not differentiable at x = 0.

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natali 33 [55]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

hope this helps :P

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2 years ago