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pantera1 [17]
3 years ago
9

Find the power series expansion for f(x)= 4/(x+2); x doesn't equal 2, centered at 0

Mathematics
1 answer:
suter [353]3 years ago
4 0
\dfrac4{x+2}=\dfrac2{1-\left(-\frac x2\right)}=2\displaystyle\sum_{n\ge0}\left(-\frac x2\right)^n

which is valid for \left|-\dfrac x2\right|, or |x|.
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Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people p
sergeinik [125]

A function assigns the values. The number of people that were recruited in year 6 is 192.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function f(t)=3(2)^t.

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

f(t)=3(2)^t

f(6) = 3(2)⁶

     = 3(64)

     = 192

Hence, the number of people that were recruited in year 6 is 192.

Learn more about Function here:

brainly.com/question/5245372

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4 0
1 year ago
PLEASE PLEASE I NEED HELP ASAP
Sidana [21]
AE = AC = 4

m<CAB = 60 (equilateral triangle)
m<CAE = 90 (square)

m<BAE = 150 (= 60 + 90)

Triangle BAE is isosceles since AB = AE;
therefore, m<AEB = m<ABE.

m<AEB + m<ABE + m<BAE = 180

m<AEB + m< ABE + 150 = 180

m<AEB + m<AEB = 30

m<AEB = 15

In triangle ABE, we know AE = AB = 4;
we also know m<BAE = 150, and m<AEB = 15.

We can use the law of sines to find BE.

BE/(sin 150) = 4/(sin 15)

BE = (4 sin 150)/(sin 15)

BE = 7.727

3 0
3 years ago
twice a number minus 4 is less than three times the number. (define a variable, write an inequality, and solve for the problem)
Simora [160]
X will represent unknown
2x-4<3x
treat the < sign as a = sign
2x-4=3x
subtract 2x form both sides
-4=x
put the < sign back
-4<x
-4 is less than than x or
x is greater than -4
4 0
3 years ago
Read 2 more answers
Please help!!<br> im not sure how to find the answer
Sophie [7]

Answer:

93

Step-by-step explanation:

Add: 67+41+91+68=267

Subtract: 360-267=93

Hope this helps

3 0
3 years ago
Help with these math exercises, please!
lions [1.4K]
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Brainliest?
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