3 years ago

What underfined geometric term is described a two dimensional set point that has no beginnings or end

Mathematics

1 answer:

yan [13]3 years ago

6 0

It is called a Line. It is a straight path that extends forever

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There are 3 feet in each yard. Complete the table to show the number of feet in 1, 2, 3, and 4 yards.

MariettaO [177]

Answer:

1 yard = 3 feet

2 yard = 6 feet

3 yard = 9 feet

4 yard = 12 feet

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3 years ago

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Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

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3 years ago

A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese. How many grams of fat are in 1/2

Elina [12.6K]

1/4 +1/4= 1/2

6g +6g= 12g

there is 12 grams of fat in 1/2 cup of cheese

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4 years ago

1,000,000,000 divided by 167?

tester [92]

Tge answer is 598,802.395 because if you put it into tge calculator you should get this answer

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What is 2 times the square root of 9 minus the square root of 4 expressed in simplified form?

Leokris [45]

Well I believe it's b

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3 years ago

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