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SIZIF [17.4K]
3 years ago
15

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

Mathematics
1 answer:
choli [55]3 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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I’m confused on this one
scoray [572]
The general form of slope-intercept form is y=mx+b

m stands for the slope
b stands for the y intercept

They are giving you m so you can replace m with -4/5 ⇒ y=-4/5x+b

Now you just need to find b. They also give you the point (0,-3). This means that when x is 0, y is equal to -3.

Lets go back to y=-4/5x+b and replace x with 0 and y with -3.
⇒ -3=(-4/5)(0) + b
⇒ -3= 0+b
⇒ -3=b 
⇒ b=-3

Now that you have m and b, you can find your final answer in the form y=mx+b
⇒ y=-4/5x + (-3)
⇒ y= -4/5x - 3


6 0
3 years ago
FREEE POINTSSSSSSSSSSS
ira [324]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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algol [13]

Answer:jio

Step-by-step explanation:

6 0
2 years ago
Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total
Vadim26 [7]

Answer:

Total Plants = 4F + 2P + 10L+ 8S

Total Plants = 2(2F + P + 5L+ 4S) --- Distributive property

Step-by-step explanation:

Given

Ferns = 4

Palms = 2

Lillies = 10

Shrubs = 8

Required

Show the total cost of plants as an expression

Shorten it using the distributive property

First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;

So, 4 Ferns = 4F

2 Palms = 2P

10 Lilies = 10L

8 Shrubs = 8S

Total Plants = Summation of the above parameters

Total Plants = 4F + 2P + 10L+ 8S

The above expression represents the total plants bought;

Now, to apply the distributive property; we simply look for a common factor;

In this case, the common factor is 2;

So, Total Plants = 4F + 2P + 10L+ 8S becomes

Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})

Total Plants = 2(2F + P + 5L+ 4S)

7 0
2 years ago
Solve for the roots using the quadratic formula 4x^2 + 101 = 36x
Dima020 [189]

Answer:

use a website

Step-by-step explanation:

it is a great algebraic calculator

symbolab.com

3 0
2 years ago
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