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Artyom0805 [142]
3 years ago
12

Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)

Mathematics
1 answer:
Maslowich3 years ago
5 0

Step-by-step explanation:

Use the Maclaurin expansion:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!

For example, for f(x) = eˣ:

f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!

f(x) = ∑ₙ₌₀°° xⁿ / n!

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The sum of 3 consecutive odd numbers is 270, find the first number
mylen [45]

Let the first number be x

The second number is x + 2

The third number is x + 4

x + x + 2 + x + 4 = 270

3x = 270 - 6

x = 88

x is not prime so there is no first number!

7 0
4 years ago
5x + 7 =-14 + 8x
Dahasolnce [82]

Answer:

x=7

Step-by-step explanation:

8x-5x=3x

7+14=21

3x=21

3/21=7

x=7

6 0
4 years ago
What is the value of x?
bagirrra123 [75]

Answer:

x=20

Step-by-step explanation:

3x + 50 = 6x - 10 \\ 60 = 3x \\ x = 20

5 0
3 years ago
Papa john is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy?
mojhsa [17]

Answer:

<h2>Jimmy is 16 old.</h2>

Step-by-step explanation:

J - the age of Jimmy John

50 - the age of Papa John

3J + 2 - the age of Papa John

The euaqtion:

3J + 2 = 50             <em>subtract 2 from both sides</em>

3J + 2 - 2 = 50 - 2

3J = 48          <em>divide both sides by 3</em>

3J/3 = 48/3

J = 16

4 0
4 years ago
I will mark brainlist ​
GREYUIT [131]

Answer:

\boxed{x = 30}

Step-by-step explanation:

x + 2x + 3x = 180 (Interior angles of a triangle add up to 180 degrees)

=> 6x = 180

Dividing both sides by 6

=> x = 180 / 6

=> x = 30

7 0
3 years ago
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