Use the binomial series to expand the function as a power series, the radius of convergence R is 4.
Using the binomial series to expand the function [tex]3(1-x/4)^{(2/3)}[/tex], we can represent it as a power series. The expansion will be in the form:
3 - (1/2)x + 6Σ[tex]((-1)^{(n-1)(3n-4)(2n+1)}/(3^n)(n!)(x/4)^n)[/tex], from n=2 to infinity.
The radius of convergence, R, is determined by the ratio of consecutive terms in the series, which in this case is (x/4)^n. Since the series converges for all values of x within the range |x/4| < 1, we can determine the radius of convergence by solving the inequality:
|x/4| < 1 -> |x| < 4
Thus, the radius of convergence R is 4.
Learn more about binomial series here:
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The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))
Answer:
90 degree - 60 degree = 30 degree always remember yn will be 90 degree
Answer:
MN = π
Step-by-step explanation:
The arc MN is calculated as
MN = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{6}[/tex]
= 6π × [tex]\frac{1}{6}[/tex]
= π
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.
I need the steps also
Answer:
AED 3000Step-by-step explanation:
Let the invested amount is x
Interest rate is r = 5% simple = 0.05 timesTime is t = 3 yearsInterest amount I = AED. 450Using the interest formula and solving for x:
P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000The amount invested is AED 3000
If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
Plz, mark brainliest!
Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
Please help me on this I need help and nobody is really helping
Answer:
(0,0)
Step-by-step explanation:
That is the middle.
Graph the following features:
• Slope = 2
Y-intercept = -5
y = mx + b
y = 2x - 5
you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.
it should look like this:
hope this helps !!
The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.
Answer:
Should be 5 in.
Step-by-step explanation:
C=2*Pi*R
31.4=2*3.14*R
substitute 5 for radius= 2*5=10
10*3.14=31.4
HELP WILL GIVE BRAINLY!
Answer:
The second one
Step-by-step explanation:
on the f axis you can see that f is greater than or equal to 1 and less than or equal to 5.
What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=2 Division Property of Equality
Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality
Help plssssssssssssss?
Answer:
2
Step-by-step explanation:
because when x, the input, is -3, the y, the output, is 3
Calculate the slope of the graph
what this answer
954328- 864597
Answer:
Answer is 89,731
Step-by-step explanation:
I hope it's helpful!
Answer:
89731
Step-by-step explanation:
954328 - 864597
= 89731
Hope this helps :)
Let me know if there is any mistake!!
which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
The school production of 'Our Town' was a big success. For opening night, 391 tickets were sold. Students paid $4.00 each, while non-students paid $6.00 each. If a total of $1786 was collected, how many students and how many non-students attended?
Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
Perform the indicated row operation:
2 −1 −4 7
−1 2 1 −1
0 10 8 2
equation
2 −1 −4 7
0 10 8 2
Answer:
-1,2,1,-1
3,4,5,5
The other answer is for the question after this one on the edge assignment
Answer:
1ST ANSWER
0 10 8 2
2ND ANSWER
0 3 -2 5
Got it right on edg
Can someone just please help me I beg you
Answer:
8 by 6986 = quotient 873 remainder 2
M= 800x8 =6400
N= 560/8=70
P= 26/8 =3
Q=3x8=24
R=26-24=2
I need brainliest so I can rank up
Step-by-step explanation:
yes good haware you good
HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!
Answer: For 7 this is how to graph it
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answer:
I think the answer is 56 .
How do i identify the minimum
Answer:
to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers
Help pls!!! Photo attached.
Answer:
i hope this helps
Step-by-step explanation:
i really need help ASAP, its due on midnight
Answer:
a. s=94 b. s=8w+54 c. w=14
Step-by-step explanation:
I posted a picture how I got this answer
Hope this helped
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Step-by-step explanation:
Please refer to the attachment
Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?
Correct question is:
stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool
Answer:
$25.25
Step-by-step explanation:
The cost of the tool has been given as $35.
The price of this tool is then reduced by 5%.
When we apply this reduction to initial price
= 35 * 5%
= 35x0.05
= $33.25
If a coupon of 8 dollars is applied
The price to be paid for the tool will be
$33.25 - $8.00
= $25.25
Stu is going to pay $25.25 for the tool
please please help! i just answered a few questions just to post this im using all my points.
Answer:
Step-by-step explanation:
∠RST=180-44-15
=121°
In ΔRST and ΔLMN,
∠RST=∠LMN (proven)
∠TRS=∠NLM (given)
∴ΔRST ~ ΔLMN (AA)
Answer:
Yes
Step-by-step explanation:
If all the angles in the triangles are the same, then the triangles are similar.
ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121
ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15
Both triangles share the same angles (44,15 and 121), so they are similar.
find the value of z
Answer:
[tex] z = 12 \sqrt{5} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]
By Pythagoras Theorem:
[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answer:
find the mean median mean devialion
There are 56 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?
Answer:
56%8=7 so then u do this (3 is the ratio of men) 3X7=21 and thats how u do it :D
Step-by-step explanation:
uhh i don't have one lol
can some one help me please....
step by step explanation........
Answer:
There are 77 members in the group.
Step-by-step explanation:
1Rs = 100 paise ( Indian Currency Conversion )
Given,
Total amount collected is = Rs 59.29
Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise
Condition :- Paise collection = Total number of members
Consider any of the above condition as X
So, X² = 5929
X = √5929 = 77
Thus, Total number of members in the group is 77 [ Option C ]
Hope this helps you.