To obtain a Maclaurin series for the given function f(x) = sin x, we can use the known Maclaurin series for sin x, which is:
sin x = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...
Multiplying this series by x^3 gives:
sin x 3 = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
Therefore, the Maclaurin series for f(x) = sin x 3 is:
f(x) = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
To find the associated radius of convergence r, we can use the ratio test. The nth term of the series is given by:
a_n = (-1)^(n-1) * (x^3)^(2n-1) / (2n-1)!
Using the ratio test, we have:
lim |a_(n+1) / a_n| = lim |(-1)^n+1 * (x^3)^(2n+1) / (2n+1)!| / |(-1)^n * (x^3)^(2n-1) / (2n-1)!|
= lim |(-1) * x^6 / ((2n+1)(2n))| = 0
Since the limit is less than 1 for all values of x, the series converges for all x. Therefore, the radius of convergence is infinity, which is consistent with the fact that sin x has an infinite radius of convergence.
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Solve the inequality x+6<7. Then graph the solutions.
What are the solutions? Select the correct choice below and fill in the answer box to complete your choice.
A.
xgreater than or equals
B.
xgreater than
C.
xless than
D.
xless than or equals
What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64
Answer:
what
Step-by-step explanation:
is the questionn
help will give brainliest
Answer:
y = 4
Step-by-step explanation:
KM / 10 = KO / 16
(4y - 1) / 10 = 6y / 16
KO = 4y-1 + 2y+1 = 6y
cross-multiply:
60y = 64y - 16
-4y = -16
y = 4
solve the 6 linear equations
-(x+2)=2(3x-6)
Find the constant of proportionality that creates a direct proportion between x and y,
Constant of Proportionality
Answer:
y=x
Step-by-step explanation:
Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional
Please find the value of X and Y will mark brainliest
Answer:
y=34.5 degrees
x=17 degrees
Step-by-step explanation:
2y=69 because it is a corresponding congruent angle
y=34.5 degrees
2y=3x+18
69=3x+18
3x=51
x=17
Find the slope- intercept from for the line Perpendicular to y-1/5x+5 passing through the point (3,-4)
how many solutions 9x +2y =9 / -3x + y=2
Answer choices-
1 solution
No solution
Infinite solutions
the solution to the system is (1,3)
the solution to the system is (3,1)
the solution to the system is (1/3,3)
Answer:
Maybe the sum was a simultaneous equation....if so, this is the solution.
and the answer comes (1/3, 3)
Hope it helps! :)
What is the slope and y intercept of Sarah’s Heavenly Cupcakes?? Will give brainly !!!!
Answer:
y=1.50x
Step-by-step explanation:
Answer:
what the other person said
Step-by-step explanation:
There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *
Answer:
1.5 banana each
Step-by-step explanation:
Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:
Answer:
T = Toby
T=(23+4)/3
Step-by-step explanation:
If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,
T=(23+4)/3
and 3 times that, so we divide
T=(23+4)/3
Then Toby is 9 years of age, and shouldn’t be driving.
g(n) = 3n − 3 f (n) = 3n + 5 Find g( f (n))
Answer:
Your answer is
9n +12
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
A square has diagonal length 13 m. What is the side length of the square, to the
nearest hundredth of a meter?
Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.
Options:
1.)B
2.)A and B
3.)C
4.)A
Answer:
as we can see here point {\color{Red}a} lies on the interval (-2, -1)
so option A is correct
Step-by-step explanation:
The required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.
Given that,
A Curve is shown on the graph,
In the interval of x = -1 and x = -2, relative minima is to be determined.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Since,
A minimum of the curve it that point where the slope of the curve is zero and at that point where the slope is zero the neighboring values must be greater to the point on the curve.
So point a is required minima where the slope is zero and also neighboring values are greater than a
Thus, the required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.
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Please help me I'll give you the crown if its right
In the figure below, mROP = 125°.
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
Step-by-step explanation:
first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:
180⁰-125⁰=55⁰
since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP
Step-by-step explanation:
step 1. mPOS = 180 - 125 = 55°. (supplementary angles)
step 2. mQOS = 125° (vertical angles)
step 3. mQOR = 180 - 125 = 55° (supplementary angles).
What is the coefficient of 8b+3.2
Answer:
8
it's the prefix to the variable
Step-by-step explanation:
Answer:
Step-by-step explanation:
8
Someone plz help me I will give brainliest
Answer:
2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12
4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7
6. 4/9 x 2/3 = 4x2/9x3=8/27
Step-by-step explanation:
Hope it helps!
Answer:
Hey again
2.- *in order* 3, 9, 15/36, 5/12
4.- *rewrite it in the same order it was in* so, 4/7 x 1/2= 5/14 simplified to=haha jk thats as simplified as it gets/ its 5/14
6.- *rewrite it as is* 4/9 x 2/3 =8/27
Step-by-step explanation:
15/36 simplified *wich you are required to have simplified* is 5/12
Pls help this is due in 10 mins
Answer:
8) 92.31
9) 9
10) 60%
11) 70
12) 8%
13) By using the formula given. multiplying by 100 and dividing or dividing and then multipling.
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
find the slope of the line y = 4/3x - 2/3
Answer:
4/3
Step-by-step explanation:
Line equations are of the format:
y = m*x + b
((m is slope; b is y-intercept))
So this line has a slope of 4/3 and a y-intercept of -2/3.
Write an explicit formula for An, the nth term of the sequence 7, 42, 252, ...
Answer:
Step-by-step explanation:
This is a geometric progression.
Givens
a1 = 7
r = 6
Formula
a_n = a1 * r^(n - 1)
a_n = 7 (6)^(n - 1)
Sample
Try n = 3
a_3 = 7*(6)^(3-1)
a_3 = 7*(6)^2
a_3 = 7 * 36
.a_3 = 252 which is exactly what it should be.
Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes
while Nustafa Van leaves every 20 minutes.
5. How often do the two vans leave Polomolok at the same time
a. every 30 minutes
c. every 1 hour
b. every 40 minutes
d. every 2 hours
6. How many times will the Smasher Van leave Polomolok so that the two von leave
together
a. 2 times b. 3 times c. 4 times d. 5 times
7. How many times will the Nustafa Van leave Polomolok so that the two vons leave
together
a. 2 times b. 3 times c. 4 times d. 5 times
Answer:
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Step-by-step explanation:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.
5. c. Every 1 hour
6. c. 4 times
7. b. 3 times
Let's solve it one by one:
The given parameters of the rate of departure of the two vans are;
The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes
The rate of departure of Nustafa Van= Every 20 minutes
5. The time, 'x', when the two vans leave at the same time is given by the Least Common Multiple (LCM) of 15 and 20 as follows;
Multiples of 15 = 15, 30, 45, 60
Multiples of 20 = 20, 40, 60
Therefore, the LCM of 15 and 20 = 60
The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour
The time, when the two vans leave at the same time = Every 1 hour
6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = [tex]\frac{60}{15}=4\text{times}[/tex]
7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = [tex]\frac{60}{30}=3\text{times}[/tex]
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uhh so i need help with this , it would be very nice if ya’ll helped a sis out
9514 1404 393
Answer:
(c) (3, 6)
Step-by-step explanation:
The only point that is on the line is (3, 6).
__
I find a graphing calculator to be a useful tool.
__
For solving this "by hand," you put the x- and y-values into the equation and check to see if it is true.
A. 2(0) +3(12) = 36 ≠ 24
B. 2(2) +3(9) = 31 ≠ 24
C. 2(3) +3(6) = 24 . . . . . a solution
D. 2(8) +3(0) = 16 ≠ 24
Helpppp I’m marking brainliest
Answer:
y=x+6
tell me if its right
Answer: y = x + 6
Step-by-step explanation:
Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB
Answer:
graph shown below
Step-by-step explanation:
ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.
On a graph, this would look like:
Plz help I’m timed!!!!
Answer:
(x, y) right-arrow (x minus 5, y minus 3)
Step-by-step explanation:
we know that
The translation of the pre-image STU to the image ST'U' is 3 units down and 5 units to the left
That means
3 units down -----> y-3
5 units to the left -----> x-5
therefore
The rule of the translation is
(x,y) -----> (x-5,y-3)
0.92 repeating as a fraction
(0.9222222222222222222........)
Answer:
0.9222222222222222/1
Step-by-step explanation:
Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?
Use the formula, F = StartFraction 9 Over 5 EndFraction C + 32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
48Degrees Fahrenheit
50Degrees Fahrenheit
82Degrees Fahrenheit
108Degrees Fahrenheit
Answer:
82
Step-by-step explanation:
Do the equation
Answer:
82.4 degrees Fahrenheit. one degree Celsius is 33.8 degrees Fahrenheit. hope this helps mark me brainliest!!
Step-by-step explanation:
HURRYYYY FASTTT
There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces
Answer:
80 fluid ounces
Step-by-step explanation:
16*5=80
Answer:
80 fluid Ounces
Step-by-step explanation:
I majored in Mathematics
Uptown towing company charges $60 to tow a car plus $25 per day for vehicle storage. Downtown Towing company charges $75 for towing plus $20 per day for vehicle storage. Write the two equations for the companies
Answer:
Uptown towing company: 60 + 25d
Downtown towing company: 75 + 20d
Step-by-step explanation:
Uptown towing company: 60 + 25d
Downtown towing company: 75 + 20d
Where d = number of days
60 + 25d
75 + 20d
Equate both equations
60 + 25d = 75 + 20d
60 - 75 = 20d - 25d
-15 = -5d
d = -15/-5
d = 3