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2 years ago

Curtis divided 27.16 by 2.8 in Got 0.97 is his answer reasonable why or why not

Mathematics

1 answer:

Rom4ik [11]2 years ago

3 0

Given :

Curtis divided 27.16 by 2.8 and got 0.97 .

To Find :

Is his answer reasonable why or why not.

Solution :

When we divide 27.16 by 0.97 we will get 9.7.

So, Curtis did a calculation error of decimal and his answer is not acceptable.

Hence, this is the required solution.

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Given:

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$y=x-0.04x^2$

To find:

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We have,

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Differentiate with respect to x.

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For critical values, $y'=0$ .

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$x=\dfrac{-1}{-0.08}$

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Differentiate y' with respect to x.

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Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

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