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2 years ago

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.

Mathematics

1 answer:

tatuchka [14]2 years ago

5 0

1/12. There are 12 possibilities, and only one number under 2.

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$x = 105$

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AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

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Step-by-step explanation:

We calculate the next integrals:

$\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\$

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$\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\$

So, this integral is divergent.

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So, this integral is divergent.

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3 years ago