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SIZIF [17.4K]
4 years ago
15

(a) Use differentiation to find a power series representation for

Mathematics
1 answer:
choli [55]4 years ago
8 0

Answer:1/(3+x)=(1/3)

1

(1−(−x/3))

1/(3+x)=(1/3)1(1−(−x/3))

Use this fact that  

1/(1−t)=

∑

∞

0

t

n

  (∗)

1/(1−t)=∑0∞tn   (∗)

where  

|t|<1

|t|<1

. I mean take  

t=−x/3

t=−x/3

and...

Note that  

|−t|=|t|<1

|−t|=|t|<1

is the radius of convergence

Step-by-step explanation:

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What is the answer and plz explain
bagirrra123 [75]

Answer:

36 squared units

Step-by-step explanation:

So you can draw "made up lines" or I guess lines you draw yourself to create 2 rectangles. Check attachment.

The first rectangle is a square and has sides 3 and 3, so you get the area of 9.

The second, has sides 9 and 3, so you get the area of 27

Since you are trying to find the entire thing, you add 27 and 9 to get 36

7 0
3 years ago
After buying a pair of sneakers, Ben has $12 left which is 20% of what he started with. How much money did Ben have before he bo
Elis [28]

Answer: $60

Step-by-step explanation:

Given that:

Amount left after purchasing sneakers = $12

$12 is equivalent to 20% of the initial starting amount

Let starting amount = x

20% of x = $12

0.2x = $12

Divide through by 0.2

0.2x / 0.2 = $12 / 0.2

x = $60

Hence, starting amount before buying sneakers is $60

8 0
3 years ago
در ادرا<br> Help hurry up please
snow_tiger [21]

Step-by-step explanation:

{(2/3)^0}^-3

{ 1}^-3

1

5 0
3 years ago
Read 2 more answers
What is the area? Step by Step please
Damm [24]
If you are trying to find the surface area I believe it would be 3456 inches. You would do 24 X 24 to get 576 because the formula to get the area is Length times width. Then you would do 576 times 6 because the cube has 6 sides and you would multiply it by the number of sides because each would be the same, cubed are the same length all around. Hope this helped.
8 0
4 years ago
If the rate of inflation is 2.6% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following
PilotLPTM [1.2K]

Answer:

The current price of the item is $600.

The price of the item 9 years from today will be of $756.

Step-by-step explanation:

Price of the item:

The price of the item, in dollars, after t years, is given by:

p(t) = 600(1.026)^t

Current price of the item

This is p(0). So

p(0) = 600(1.026)^0 = 600

The current price of the item is $600.

9 years from today.

This is p(9). So

p(9) = 600(1.026)^9 = 756

The price of the item 9 years from today will be of $756.

3 0
3 years ago
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