Determine the taylor series about the point x0=2 for the function 11−x. determine the radius of convergence of the series.
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P.S. for the radius of convergence: it is clear that all the members of the series (except the 1st and the 2d ones) are '0'.
Related Questions
52÷2 what is the answer to this math
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Brainliest? I am trying to get a higher rank!
A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.
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Answer:
The volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Step-by-step explanation:
Formula
Volume of a rectangular prism = Length × Breadth × Height
As given
A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.
i.e
A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]
In mixed number
[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]
In decimal form
[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]
Therefore the volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]
Step-by-step explanation:
Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]
[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]
width = 5 inches
height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]
Now, the volume of the prism will be :-
[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]
Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]
Graph the equation
5x+3y+62=30
Answers
Answer:
see below
Step-by-step explanation:
Subtract 62, then divide by -32 to put the equation into intercept form:
... x/(-6.4) + y/(-10 2/3) = 1
This tells you the x-intercept is -6.4, and the y-intercept is -10 2/3. A line through these two points is your graph.
The status of a statement is either true or false geometry
Answers
Any given statement can also be "truth value unknown", or "nonsense", among other things.
Find an equation of the tangent line to the tangent line to the given curve at the specified point y= ln(x^2-8x+1), (8,0)
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Details are provided on the attached picture.
Steph Curry makes 9 out of 10 free throws if he free throws 200 shots how many can the expect to get in
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Answer:
180 out of 200
Step-by-step explanation:
A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?
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3x+4y=-23
2y-x=-19
What is the solution (x,y) to the systems of equations above?
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4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Final answer:
The solution to the system of equations 3x + 4y = -23 and 2y - x = -19, found using the elimination method, is (x, y) = (-61, -40).
Explanation:
To solve the system of equations 3x + 4y = -23 and 2y - x = -19, we can use the method of substitution or elimination. Let's use elimination to find the solution for (x, y).
Multiply the second equation by 2 to align the x terms: 2(2y - x) = 2(-19), which gives us 4y - 2x = -38.
Rewrite the equations to align like terms:
3x + 4y = -23
-2x + 4y = -38
Add the two equations together to eliminate y: (3x - 2x) + (4y + 4y) = -23 - 38, resulting in x = -61.
Substitute x back into the second original equation: 2y - (-61) = -19, which simplifies to 2y + 61 = -19.
Solve for y by subtracting 61 from both sides: 2y = -80, and then dividing by 2 gives us y = -40.
So, the solution to the system of equations is x = -61 and y = -40.
look i know its easy to u but can you help me with this one
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I find it hard to tell what the question is asking you to do. Are you supposed to start with 14(T-shirt +socks) and expand that to 14*T-shirt +14*socks, or the other way around? Since I find it easier to do one multiplication, I chose the above approach.
How many triangles can be constructed with angles measuring 80 degrees 80 degrees and 40 degrees
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The sum of these angles is 200°. The sum of angles in a triangle must be 180°. These angles cannot be used to form a triangle.
Answer:
None
Step-by-step explanation:
The angles inside a triangle add to 180. If the angles are 80, 80 and 40, then they must add to 180 to form a triangle.
80+80+40 = 200
This can't be a triangle.
if 30% of the students in Miss World was class like chocolate ice cream then how many students are in her class if 6 students like chocolate ice cream
Answers
What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (0, 0) B. (2, 1) C. (4, 2) D. (8, 4)
Answers
Answer:
Option D (8,4)
Step-by-step explanation:
we know that
The dilation centered at the origin (0,0) is very simple. To find out the image point multiply the scale factor to the x and y-coordinates of the pre-image point.
so
(2*4,2*2) -----> (8,4)
Answer:
D. (8, 4) IS THE ANSWER
The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach Jupiter? (1 year = 12 months)
Answers
2 YEARS=24 MONTHS
A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?
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We have to find the bill for this month.
Since, the student talked on phone for 790 minutes.
600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.
So, 790 - 600 =190 minutes.
So, 190 minutes are minutes at $0.25/minute.
So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]
= 47.50
So, Total bill for 790 minutes =
Cost for 600 minutes + Cost for 190 minutes
= $40 + $47.50
= $87.50
So, the bill for the month is $87.50
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer. (You can choose more than one).
A. Circle V and circle W are similar.
B. Circle V and circle W have the same center.
C. The radius of circle V is 16.
D. The center of circle V is (−5, 0).
Answers
1)Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)²+(y)²=8²
2)Circle V is a translation of circle W, 2 units down.
the center of circle V--------> (-3,0-2)---------> (-3,-2)
3)Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2------> 16 units
the equation of a circle V is
(x+3)²+(y+2)²=16²
therefore
case A. Circle V and circle W are similar.---------> is correct
because I can transform circle V to circle W using only translations, rotations and scaling (In the case of circles, no rotations are necessary).
case B. Circle V and circle W have the same center.-------> is not correct
case C. The radius of circle V is 16.-----------> is correct
case D. The center of circle V is (−5, 0).----------> is not correct
the answer is
case A. Circle V and circle W are similar.---------> is correct
case C. The radius of circle V is 16.-----------> is correct
Circle V and Circle W are similar and the radius of Circle V is 16; however, Circle V and Circle W do not have the same center, and the center of Circle V is not (-5, 0), but rather (-3, -2).
Given the information that Circle W has center (-3, 0) and radius 8, and Circle V is a translation of Circle W 2 units down and a dilation with a scale factor of 2, the following statements can be evaluated:
Circle V and Circle W are similar: This statement is true. Both circles maintain their shape after a translation and dilation.Circle V and Circle W have the same center: This statement is false. Translation moves the center of Circle V 2 units down, changing its coordinates.The radius of Circle V is 16: This statement is true. The radius is doubled through the dilation process.The center of Circle V is (-5, 0): This statement is false. The correct center after translation would be (-3, -2).if m 6 =50 then find m 11
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The question about finding the value of m 11 based on m 6 cannot be answered with the information provided. Additional context or a specific formula is needed to make a calculation.
Explanation:It appears that there might be a misunderstanding in the question, as the provided information is not sufficient to determine the value of m 11 based on the value of m 6. The references provided deal with various scientific and mathematical concepts that do not seem directly related to one another and therefore do not give a clear method for calculating m 11 from m 6.
Additional context or information such as a specific formula, sequence, or relationship between m 6 and m 11 would be necessary to provide an accurate answer. Without this information, it's not possible to calculate m 11.
if the input is 3 and the output is 13 what is the function
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f(3) = 13
Lucy is making a smoothie by following the recipe below
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Match the expressions with the property used to generate 5y + 2y + 6 + 2.
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Hope this helps!
find the missing number 1.2 equals 3. what
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x= unknown number
1.2 * x= 3
1.2x= 3
divide both sides by 1.2
x= 3/1.2
x= 2.5
Hope this helps! :)
What is the principal if the amount is $1056,the time is 4 years,and the rate is 8%?
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.. I = Prt
.. 1056 = P*.08*4 . . . . . . . . substitute the given values
.. 1056/0.32 = P = 3300 . . divide by the coefficient of P and evaluate
The principal is $3300.
The principal amount is calculated using the formula for simple interest. By rearranging the formula and inputting the given values for the amount, time, and interest rate, the principal is determined to be $800.
To find the principal if the amount is $1056, the time is 4 years, and the rate is 8%, we can use the formula for simple interest which is:
Amount = Principal + (Principal × Rate × Time)
Rewriting the formula to solve for principal (P), we get:
Principal = Amount ÷ (1 + Rate × Time)
Substituting the given values:
Principal = $1056 ÷ (1 + 0.08 × 4)
Principal = $1056 ÷ (1 + 0.32)
Principal = $1056 ÷ 1.32
Principal = $800
Therefore, the principal is $800.
how i describe the algebraic expression of n+4
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Answer:
Step-by-step explanation:
One way to put that into words would be "4 added to some number". Another way could be "the sum of some number and 4" or "4 more than some number". They all mean the same thing.
Find the general solution of the given second-order differential equation. 25y'' − 15y' − 4y = 0
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Final answer:
To solve the second-order differential equation 25y'' - 15y' - 4y = 0, we find the characteristic equation and its roots, then express the general solution as a linear combination of terms with the found roots as exponents, resulting in [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
Explanation:
We are given a second-order differential equation with constant coefficients: 25y'' − 15y' − 4y = 0. First, we will look for a characteristic equation that arises from this differential equation to find the general solution.
To find the characteristic equation, we substitute [tex]y = e^{rt}[/tex] (where r is a constant) into our differential equation, replacing y'' with [tex]r^2e^{rt}[/tex], y' with [tex]re^{rt}[/tex], and y with [tex]e^{rt}[/tex]. The equation becomes 25r² − 15r − 4 = 0.
Solving for r, we find the roots of the characteristic equation, which are the values of r that satisfy the equation.
Once we have the roots, which we'll call r₁ and r₂, the general solution to the differential equation is [tex]y = C_1e^{r_1t} + C_2e^{r_2t}[/tex], where C₁ and C₂ are arbitrary constants determined by initial conditions.
To find r₁ and r₂, we factor the characteristic equation:
25r² − 15r − 4 = (5r + 1)(5r - 4) = 0. Hence, r₁ = -1/5 and r₂ = 4/5.
Finally, the general solution to the differential equation is [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
What is equation for the line or curve of the best fit for the following data?
Answers
Option 2. y = 4.98x - 0.3
The given points can be plotted on a graph. The points mainly lie in a straight line so a straight line will be the best fit for the given set of ordered pairs. The equation of line that best fit can be found using any tool like Excel, Statcrunch etc. Using excel the points have been plotted and equation of best fit is found. The image attached below show the graph and equation
For what values of m does the graph of y=mx^2-5x-2 have no x-intercepts
Answers
according the condition the graph mx²-5x-2 have no x-interception.
It means that D<0:
D=25+2*4*m=25+8m<0; ⇒ 8m+25<0; ⇔ m<-25/8; ⇔ m<-3.125.
answer: m∈(-oo;-3.125).
reuben deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?
Answers
I=PRT
P=$700
R=0.05
T=3 years
thus
I=700×0.05×3=$105
the movie theater is twice as far from the school as the mall. if the movie theater is to the right of the school, at which location is the movie theater ?
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One rejects the null hypothesis only when the:
a. sample mean is larger than the population mean.
b. p value associated with the test statistic is greater than the p level chosen.
c. p value associated with the test statistic is smaller than the p level chosen.
d. sample mean is smaller than the population mean.
Answers
If the P value is less than or equal to o, then the null hypothesis is rejected in favor of the alternative hypothesis. The alternative hypothesis is also known as the research hypothesis. These are part of the significance levels of research based projects.
Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Check all that apply. The domain is {x| x ≥ 3}. The range is {y| y ≥ –1}. The function decreases over the interval (–∞, 3). The function increases over the interval (–1, ∞). The axis of symmetry is x = –1. The vertex is (3, –1).
Answers
Statement 2 is true.
Statement 3 is true because when we graph f, it is a parabola opening upwards with vertex (3, -1). Since it is opening upward, then the value of x from -∞ to 3 is decreasing while increasing from 3 to ∞.
Statement 4 is false because we just stated above that f is decreasing from -∞ to 3. Hence, f is also decreasing from -1 to 3. Hence, f is not increasing from -1 to ∞.
Statement 5 is false because the axis of symmetry is x = 3.
Statement 6 is true.
Hope this helps! :)
Answer:
2,3,6 are true on edg
Step-by-step explanation:
What is m? 128° 173° 192° 256°
173 is the answer
Answers
but i guess you already said that
so I'm just conferming it ig