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3 years ago

11

The temperature in Antarctica was -51 degrees today while the temperature in Puerto Rico what is the difference between the two

temperature

2 answers:

k0ka [10]3 years ago

4 0

Answer:

what's the temperature in Puerto Rico

Ratling [72]3 years ago

3 0

I need to know the temperature for Pierrot Rico

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A high speed train can travel 750 miles in 5 hours. Find the unit rate in miles per hour.

algol13

Answer:

150 miles per hour

Step-by-step explanation:

750 divided by 5 is 150

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3 years ago

A triangle has sides with lengths of 2x - 7, 5x - 3, and 2x - 2. What is the perimeter of the triangle

marusya05 [52]

Answer:

3x

Step-by-step explanation:

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4 years ago

EXAMPLE 2 Prove that 9ex is equal to the sum of its Maclaurin series. SOLUTION If f(x) = 9ex, then f (n + 1)(x) = for all n. If

amm1812

Answer:

To Prove: $9e^x$ is equal to the sum of its Maclaurin series.

Step-by-step explanation:

If $f(x) = 9e^x$ , then $f ^{(n + 1)(x)} =9e^x$ for all n. If d is any positive number and |x| ≤ d, then $|f^{(n + 1)(x)}| = 9e^x\leq 9e^d.$

So Taylor's Inequality, with a = 0 and M = $9e^d$ , says that $|R_n(x)| \leq \dfrac{9e^d}{(n+1)!} |x|^{n + 1} \:for\: |x| \leq d.$

Notice that the same constant $M = 9e^d$ works for every value of n.

But, since $lim_{n\to\infty}\dfrac{x^n}{n!} =0 $ for every real number x$$ ,

We have $lim_{n\to\infty} \dfrac{9e^d}{(n+1)!} |x|^{n + 1} =9e^d lim_{n\to\infty} \dfrac{|x|^{n + 1}}{(n+1)!} =0$

It follows from the Squeeze Theorem that $lim_{n\to\infty} |R_n(x)|=0$ and therefore $lim_{n\to\infty} R_n(x)=0$ for all values of x.

$THEOREM\\If f(x)=T_n(x)+R_n(x), $where $T_n $is the nth degree Taylor Polynomial of f at a and $ lim_{n\to\infty} R_n(x)=0 \: for \: |x-a|$

By this theorem above, $9e^x$ is equal to the sum of its Maclaurin series, that is,

$9e^x=\sum_{n=0}^{\infty}\frac{9x^n}{n!}$ for all x.

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3 years ago

Defines substitution

Kisachek [45]

Answer:

Step-by-step explanation:

Trading one for another :)

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4 years ago

Read 2 more answers

Question# 12, find the slope

AnnyKZ [126]

From the graph we can see that the line is passing through following two points:

(0,1) and (-4, -2)

Slope = m = (-2 - 1)/(-4 -0 ) = -3/-4 = 3/4

So the slope of given line is 3/4

Thus the correct answer is option B

8 0

3 years ago

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