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Cerrena [4.2K]
4 years ago
11

Round 743214 to the nearest ten thousand

Mathematics
1 answer:
MrRa [10]4 years ago
4 0
The answer is 740,000. I hope this helps!
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Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter
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Answer:

  see attached

Step-by-step explanation:

A graphing calculator does this nicely.

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3 years ago
Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
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Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\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}\\

So, this integral is convergent.

b)

\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.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

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3 years ago
Robert made a design on his wall with the similar pentagon tiles shown.
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Answer:

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Step-by-step explanation:

5

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Step-by-step explanation:

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B

Step-by-step explanation:

B is the correct answer.

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