The united states exports over 200 billion pounds of coal how many tons does the united states export

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

I think that would be 100 million pounds of coal.

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Find the length of the curve y = integral from 1 to x of sqrt(t^3-1)

Arlecino [84]

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By the fundamental theorem of calculus,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d}{\mathrm dx}\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt=\sqrt{x^3-1}$

Now the arc length over an arbitrary interval $(a,b)$ is

$\displaystyle\int_a^b\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx=\int_a^b\sqrt{1+x^3-1}\,\mathrm dx=\int_a^bx^{3/2}\,\mathrm dx$

But before we compute the integral, first we need to make sure the integrand exists over it. $x^{3/2}$ is undefined if $x$ , so we assume $a\ge0$ and for convenience that $a$ . Then

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6 0

3 years ago

What is the quotient?

Ierofanga [76]

Answer:

3/2

Step-by-step explanation:

For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.

Thus, we multiply the first expression with the second expression's reciprocal as shown below.

$\frac{2m + 4}{8} \div \frac{m + 2}{6}$

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We can cancel common factors and simplify the product. Hence, we have

$\frac{2(6)}{8}$

$\frac{3}{2}$

Therefore, the quotient of the expressions is equal to 3/2.

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2 years ago

Find the area of the composite figure. PLEASE HELP. SORRY BUT ENGLISH ONLY.

Ivahew [28]

Looks like a regular hexagon

see my attachment

we put some imaginary lines and take the 2 trignles on the right and put them on teh left side
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