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3 years ago

Which is the solution set of a for -3(-x a) 7<5 when x=-1 ?

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer: CAN I DO YOU PLS

Step-by-step explanation:

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Heather has a bag containing 4 marbles. 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it. And then dra

Sergio039 [100]

Answer: 32

<u>Step-by-step explanation:</u>

Red Blue Green

$\frac{1}{4} * \frac{1}{4} * \frac{2}{4}$

= $\frac{1}{4} * \frac{1}{4} * \frac{1}{2}$

= $\frac{1}{32}$

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3 years ago

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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

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Luden [163]

Answer:

y=-2x+4

Step-by-step explanation:

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3 years ago

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You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o

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You first multiply 7*150 and that is 2100 bars of soaps you need to last 7 days. If there is 150 bars in each case you divide 2100 by 150 and you get 14?. You are using 14 cases for 7 day.

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3 years ago

What is the solution to this inequality?

Alika [10]

Answer:

Step-by-step explanation:

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3 years ago

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