3 years ago

How many subsets does A have?

Mathematics

1 answer:

finlep [7]3 years ago

7 0

A set with n elements has 2^n subsets, including the empty set and the complete set.

Your set has 2^6 = 64 subsets.

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Is 6 classified as an integer?

cupoosta [38]

Answer:

Yes

Step-by-step explanation:

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7 0

3 years ago

Find the curvature of the parabola y=x^2 at A(1,1)

xxMikexx [17]

Answer:

Step-by-step explanation:

The curvature of the curve y=f(x) is

$y=f(x)=x^2\\\\y'=f'(x)=2x\\\\y''=f''(x)=2\\\\K(x)=courbure(in\ French)=\Bigg|\dfrac{y''(x)}{(1+y'(x)^2)^{\dfrac{3}{2} } }\Bigg|\\\\At\ A=(1,1),\\K(1)=\Bigg|\dfrac{2}{(1+2^2)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{(5)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{5*\sqrt{5} }\Bigg|\\\\=\Bigg|\dfrac{2*\sqrt{5}}{25 }\Bigg|\\\\\\\boxed{=\dfrac{2*\sqrt{5}}{25 }}\\\\$