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galben [10]
3 years ago
10

How do you do these questions?

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

-x¹⁴ / 5040

-½ < x < ½

Step-by-step explanation:

f(x) = e^(-x²)

The Taylor series for eˣ centered at 0 is:

eˣ = ∑ (1/n!) xⁿ

Substitute -x²:

e^(-x²) = ∑ (1/n!) (-x²)ⁿ

e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ

The 14th degree term occurs at n=7.

(1/7!) (-1)⁷ x¹⁴

-x¹⁴ / 5040

ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n

If we substitute 4x²:

ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n

Using ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1

lim(n→∞)│-1 (4x²) n / (n+1)│< 1

4x² < 1

x² < ¼

-½ < x < ½

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Scientific form of 47500000000​
melomori [17]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Scientific notation for above value is ~

  • 4.75 \times 10 {}^{10}

5 0
2 years ago
Read 2 more answers
Please help I’m begging for an answer
valina [46]

Answer:

Step-by-step explanation:

5y + 1 + 8y - 4

5y + 8y + 1 - 4

13y - 3

7 0
3 years ago
If Susie is 14, what was her age x years ago?<br><br> x - 14<br> 14 - x<br> 14x
andreyandreev [35.5K]
The answer is 14 - x.

If she is 14 now, and the question is looking for her age x years ago, it is basically just asking you to subtract x from 14.

It also can't be x - 14, because that means Susie's age is x and the question is asking for her age 14 years ago, and it can't be 14x, because that's 14 multiplied by x. 
6 0
3 years ago
Read 2 more answers
Cuál será la razón entre la cantidad de lejía y la cantidad de agua, si la taza contiene 200 ml (mililitros) y cada litro es 100
tatyana61 [14]

Answer:

Ratio of bleach and water = 1:4

Relación de lejía y agua = 1:4

Step-by-step explanation:

English Translation

What will be the ratio between the amount of bleach and the amount of water, if the filled, 1 L cup contains 200 ml (milliliters) of bleach and each liter is 1000 ml (milliliters)

The cup contains 1000 mL of liquid.

The cup contains 200 mL of bleach and given that the rest is water, there are (1000 - 200) mL of water in the cup.

Amount of bleach in cup = 200 mL

Amount of water in cup = 800 mL

Ratio of bleach to water = 200:800

divide by the least number

Ratio of bleach to water = 1:4

In Spanish/En español

La taza contiene 1000 ml de líquido. La taza contiene 200 ml de lejía y dado que el resto es agua, hay (1000 - 200) ml de agua en la taza.

Cantidad de lejía en taza = 200 ml

Cantidad de agua en taza = 800 ml

Relación de lejía a agua = 200:800

dividir por el menor número

Relación de lejía a agua = 1:4

Hope this Helps!!!

8 0
3 years ago
Solve using elimination 6x + 2y = -8 3x - 2y = -19
Jobisdone [24]

Answer:

x=-3, y=5

Step-by-step explanation:

6x + 2y = -8   3x - 2y = -19

Add the two equations together to eliminate y

6x + 2y = -8

3x - 2y = -19

------------------------

9x        = -27

Divide each side by 9

9x/9 = -27/9

x = -3

Now we find y

6x + 2y = -8

6(-3) +2y = -8

-18+2y = -8

Add 18 to each side

-18+18 +2y = -8+18

2y = 10

Divide by 2

2y/2 = 10/2

y =5

3 0
3 years ago
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