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3 years ago

What’s a real number between the square root of 13 and the square root of 14

Mathematics

1 answer:

Pie3 years ago

6 0

Real numbers can be both rational and irrational.

sqrt(13) = 3.60555

sqrt(14) = 3.74166

If you're looking for a rational number, there are lots of them to choose from. Easiest is probably 3.7 = 37/10.

An irrational number in this range might be sqrt(27/2).

Hope this helps!

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

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The turning point is

$(1,-3).$

EXPLANATION

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$f(x) = (x - 1) ^{3} - 3$

At turning point,
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We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

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$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

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$f(1) = - 3$

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$(1,-3)$

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