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Effectus [21]
2 years ago
7

Find a power series representation for the following function.

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
5 0

a. Recall that

For , we have

By integrating both sides, we get

If , then

so that

We can shift the index to simplify the sum slightly.

b. The power series for  can be obtained simply by multiplying both sides of the series above by .

c. We have

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Sorry this is the last one! Help for brainliest answer
laila [671]

Answer:

5, 6, 9, 15

Also:

Plz mark me brainliest :)

6 0
2 years ago
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The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
Blizzard [7]

the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)

hypotenuse = 10

 10/2 =5

 so the answer should be 5sqrt(2), which I don't see as a choice

4 0
3 years ago
Find the area of the parallelogram shown below and choose the appropriate result.
Lisa [10]

Answer:

The area of the parallelogram is 0.1875 mile² ⇒ D

Step-by-step explanation:

The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where

  • b1 and b2 are two adjacent sides of it
  • h1 and h2 are the heights perpendicular to these bases

In the given figure

∵ There is a parallelogram

∵ One of its bases is 0.25 mile

∴ b1 = 0.25 mile

∵ the height of this base is 0.75 mile

∴ h1 = 0.75 mile

→ By using the rule of the area above

∴ The area of the parallelogram = 0.25 × 0.75

∴ The area of the parallelogram = 0.1875 mile²

∴ The area of the parallelogram is 0.1875 mile²

6 0
2 years ago
Need help asap with math question! Thx
erastova [34]

Answer:

1) 49/10 and 490/100

2) 49/1000

Step-by-step explanation:

7 0
2 years ago
What is this answer please help me
Deffense [45]

Answer:

It is proportional

Step-by-step explanation:

To determine if its proportional/non-proportional is by using ratios

so go line by line

p pine and k oak

12 pine to 44 oak

18 pine to 66 oak

24 pine to 88 oak

30 pine to 110 oak

Start with the first line

p= pine per k= oak

so obviously not numbers but to help mind you it just means the numbers will be put as p/k (to make life simpler)

Or pine over oak

Second Line

12/44 which reduces down to 3/11

Third Line

18/66 which reduces down to 3/11

Fourth line

24/88 which reduces down to 3/11

Fifth line

30/110 which reduces down to 3/11

In order to be proportional the ratios all have to be equivalent to each other

Therefore,

3/11 = 3/11 = 3/11 = 3/11

So this is proportional

5 0
3 years ago
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