is it possible to find a power series whose interval of convergence is ? explain. answer no

Answers

Answer 1

Yes, it is possible to find a power series whose interval of convergence is [0, ∞).

The interval of convergence for a power series is determined by the behavior of the series as the variable approaches different values. The interval can be open, closed, half-open, or infinite.

In the case of [0, ∞), it represents a right-half open interval, indicating that the power series converges for all values of the variable greater than or equal to 0.

To find such a power series, we need to consider the conditions for convergence. The most common tests for convergence of power series are the ratio test and the root test. If the series satisfies the conditions of either test, it will converge within a specific interval.

For a power series to have an interval of convergence of [0, ∞), the coefficients in the series must satisfy certain conditions, such as convergence of the series for x = 0 and divergence for x > 0. This can be achieved by selecting appropriate coefficients and constructing a power series that converges for x = 0 and diverges for x > 0.

In summary, it is indeed possible to find a power series whose interval of convergence is [0, ∞) by carefully selecting the coefficients to meet the convergence conditions for this interval.

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Complete question is:

Is it possible to find a power series whose interval of convergence is [0, ∞)? Explain.


Related Questions

Help pls homework!! Sorry if I’m wasting time.

Answers

Answer:

Blanks top to bottom: 6^2, 36, 9, 108, 101

Step-by-step explanation:

Use PEMDAS which stands for parentheses, exponents, multiplication, division, addition, and subtraction. Listed in this specific order, you must look and solve for each one first, starting with parentheses.

4.

12 × ((4+2)^2/4) - 7

Solve for inside of parentheses first:

12 × ((6)^2/4) - 7

12 × (36/4) - 7

12 × 9 - 7

108 - 7

101

help
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Answers

Answer:

1 is E 2 is C

Step-by-step explanation:

15 is equal to or less than 6x

Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.

Answers

Transformation of function f with a feature of the transformed function.

g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x)=3f(x)-3 is domain of (0, ∞)

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Answer:

Step-by-step explanation:

as of today, the team has played seven games, and _____________ has won them all.

Answers

As of today, the team has played seven games, and "the team" has won them all.

This statement indicates that the team, whose specific name or identity is not provided, has achieved a perfect winning record by emerging victorious in all seven games they have participated in. The emphasis is on the collective success of the team rather than attributing the wins to any particular individual or naming the team itself. The phrase "has won them all" highlights the team's unbeaten streak and implies their dominance in the competition.

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What is the answer ? I need help

Answers

Answer:

-42

Step-by-step explanation:

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer
welp me pls
( T﹏T ) ( T﹏T ) ( T﹏T ) ( T﹏T )

Answers

Answer:  16° F

Step-by-step explanation:

30-15=16

16 degrees because if you subtract 31 degrees by 15 degrees you get 16 degrees.

I just need the answer if you don’t have a real answer but want to say something just comment it

Answers

Answer:

80??

Step-by-step explanation:

Factor 2x^2 - 3x = 2x - 2............Please?

Answers

Answer:

X = 1/2, 2

Step-by-step explanation:

= (2x-1)(x-2)

Answer:

OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY

Step-by-step explanation:

please help!!!!!!!!!

Answers

Answer: 15,000

Explanation: the question asks for the maximum profit so you look for the highest point and check the x value for it.

Hope this helped! :)

What is the center? (X +3)^2+(y-11)^2=49

Answers

Answer:

I don't know the answer I am sorry I really need points to ask a important question sorry you can report me if you want but I want you to know that I really points

A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
Use Minitab Express to construct the following confidence intervals. Report your answers as decimals (not percents) rounded to three decimal places, where applicable.
a) We are 95% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between ____ and ____
b) We are 99% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between _____ and ____

Answers

The sample proportion is calculated by dividing the number of individuals who believe it is the responsibility of the federal government (493) by the total number of adult Americans surveyed (1050).

a) For the 95% confidence interval, we use the formula: Sample proportion ± Z * (Standard error). The value of Z is determined by the desired confidence level. In this case, for a 95% confidence level, Z is the critical value corresponding to a two-tailed test. By plugging in the values, we can calculate the lower and upper limits of the interval.

b) Similarly, for the 99% confidence interval, we use the same formula but with the appropriate critical value for a 99% confidence level.

Using Minitab Express or statistical tables, we can find the critical values and compute the confidence intervals.

Hence, the 95% confidence interval represents our level of confidence that the true proportion of adult Americans who believe it is the responsibility of the federal government to provide healthcare coverage lies within the reported interval. Similarly, the 99% confidence interval provides a higher level of confidence in capturing the true proportion.

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Julio recibió $640.000: gastó las ⅜ partes para pagar sus estudios y la ¼ parte para reparar el auto, ¿cuánto dinero le queda?

Answers

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

on number 6 what should i color in

Answers

Answer:

For 5/11 shade in the third bubble (0.45 repeating)

The radius of a circle is 1 meter. What is the area?

r=1 m

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} [/tex]

What are the difference and similarities between a quadratic function and its transformation?

Answers

Well, since they are different degrees, there aren’t much similarities.

But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.

A standard quadratic function is of the form ()=2++
f
(
x
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=
a
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2
+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
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b
and is just a line.
7.5K viewsView upvotes

2




Related Questions (More Answers Below)

Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?

Answers

270-(7/9x270)=60miles

Find the characteristic c using a 64-bit long real equivalent decimal number -147 with mantissa f = 0.1484375

Answers

Characteristic 'c' using a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375, the number can be expressed as -1.48 x 10^2. The characteristic 'c' is the exponent of the power of 10. Therefore, the characteristic 'c' is -2.

The scientific notation representation of a real number is given by 'm x 10^c', where 'm' is the mantissa and 'c' is the characteristic. In this case, we have a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375. The number can be written as -1.48 x 10^2.

To determine the characteristic 'c', we look at the exponent of the power of 10. In this case, the exponent is 2. However, since the number is negative, the characteristic is also negative. Therefore, the characteristic 'c' is -2.In summary, for the given number -147 with mantissa 0.1484375, the characteristic 'c' is -2.

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

Sarah's house is not shown in graph

Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours and follows the exponential probability distribution. Determine the following probabilities.
a) Determine the probability that the next charge will last less than 1.9 hours.
b) Determine the probability that the next charge will last between 2.9 and 4 hours.
c) Determine the probability that the next charge will last more than 5 hours.
(Round to four decimal places as needed.)

Answers

(a) 0.3694 is the probability that the next charge will last less than 1.9 hours. (b) 0.2344 is the probability that the next charge will last between 2.9 and 4 hours. (c) 0.3830 the probability that the next charge will last more than 5 hours.

To solve these probabilities, we need to use the exponential probability distribution formula. The formula for the exponential distribution is:

[tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]

where,

λ is the rate parameter, and

x is the variable representing the duration.

Given that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours, we can find the rate parameter (λ) by taking the reciprocal of the average:

λ = 1 / 4.6

Now let's calculate the probabilities:

a) Determine the probability that the next charge will last less than 1.9 hours.

Using the exponential distribution formula:

[tex]P(X \leq 1.9) = 1 - e^{(-\lambda \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-\frac{1}{4.6} \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-0.4130)}[/tex]

P(X ≤ 1.9) ≈ 0.3694 (rounded to four decimal places)

Therefore, the probability that the next charge will last less than 1.9 hours is approximately 0.3694.

b) Determine the probability that the next charge will last between 2.9 and 4 hours.

Using the exponential distribution formula:

P(2.9 ≤ X ≤ 4) = P(X ≤ 4) - P(X ≤ 2.9)

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\lambda \times 4)}] - [1 - e^{(-\lambda \times 2.9)}][/tex]

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\frac{1}{4.6} \times 4)}] - [1 - e^{(-\frac{1}{4.6} \times 2.9)}][/tex]

P(2.9 ≤ X ≤ 4) ≈ 0.2344 (rounded to four decimal places)

Therefore, the probability that the next charge will last between 2.9 and 4 hours is approximately 0.2344.

(c) Determine the probability that the next charge will last more than 5 hours.

Using the exponential distribution formula:

P(X > 5) = 1 - P(X ≤ 5)

[tex]P(X > 5) = 1 - [1 - e^{(-\lambda \times 5)}][/tex]

[tex]P(X > 5) = 1 - [1 - e^{(-\frac{1}{4.6} \times 5)}][/tex]

P(X > 5) ≈ 0.3830 (rounded to four decimal places)

Therefore, the probability that the next charge will last more than 5 hours is approximately 0.3830.

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HELPPPPPPPP
What is the value of x in the triangle?

Answers

Answer:

82

Step-by-step explanation:

it's very easy the answer is 82

Answer:

65°+75°+x°=180°(sum of an angle of triangle is 180°

or, 140°+x°=180°

or, x°=180°-140°

therefore,x°=40°

The marginal PMFs for two INDEPENDENT random variables are given as follows 1/8 x = -1 Px(x) 1/2 = 0 3/8 1 = X = X = - py(y) = Py = 5/16 y=-1 9/16 y=0 1/8 = y = 1 a) Find the joint PMF for X, Y

Answers

The joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

The joint probability mass function (PMF) of two discrete random variables is a function that maps each pair of outcomes of the random variables to a probability. In particular, the joint PMF gives the probability that the random variables take a certain pair of values on each trial. Therefore, we have to find the probability that the random variables X and Y take each of the six possible values.

Therefore, the joint PMF for X, Y is given as follows:

For x = -1 and y = -1,

P(X = -1, Y = -1)

= P(X = -1)P(Y = -1)

= (1/8)(5/16)

= 5/128

For x = -1 and y = 0,

P(X = -1, Y = 0) = P(X = -1)P(Y = 0)

= (1/8)(9/16)

= 9/128

For x = -1 and y = 1,

P(X = -1, Y = 1) = P(X = -1)P(Y = 1)

= (1/8)(1/8)

= 1/64

For x = 0 and y = -1,

P(X = 0, Y = -1) = P(X = 0)P(Y = -1)

= (1/2)(5/16)

= 5/32

For x = 0 and y = 0,

P(X = 0, Y = 0) = P(X = 0)P(Y = 0)

= (1/2)(9/16)

= 9/32

For x = 0 and y = 1,

P(X = 0, Y = 1) = P(X = 0)P(Y = 1)

= (1/2)(1/8)

= 1/16

For x = 1 and y = -1,

P(X = 1, Y = -1) = P(X = 1)P(Y = -1)

= (3/8)(5/16)

= 15/128

For x = 1 and y = 0, P(X = 1, Y = 0) = P(X = 1)P(Y = 0)

= (3/8)(9/16)

= 27/128

For x = 1 and y = 1,

P(X = 1, Y = 1) = P(X = 1)P(Y = 1)

= (3/8)(1/8)

= 3/64

Therefore, the joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

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The full weight of a brand of a pack of sweet potato fries is a random variable with µ = 350 g and σ= 4.1 8. Assume that you pick a random pack from the population.
a. Find the proportion of packs that contain less than 340 g?
b. How likely is it for a pack to contain 330 g?

Answers

The proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%. The likelihood of a pack containing exactly 330g cannot be determined without additional information.

To find the proportion of packs that contain less than 340g, we need to calculate the z-score and use the standard normal distribution table. The Calculating z-score:

z = (x - µ) / σ

Where x is the value we want to find the proportion for (in this case, 340g), µ is the mean (350g), and σ is the standard deviation (4.18g).

Substituting the values, we have:

z = (340 - 350) / 4.18 ≈ -2.39

Next, we look up the corresponding z-score in the standard normal distribution table. The area to the left of -2.39 represents the proportion of packs that contain less than 340g. Consulting the table, we find that the area is approximately 0.0091 or 0.91%.

Therefore, the proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%.

To determine the likelihood of a pack containing exactly 330g, we need more information. Specifically, we would need the probability density function (PDF) of the distribution to calculate the exact likelihood. Without the PDF, we cannot determine the likelihood of a specific weight like 330g.

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Which value below represents the solution to 64 = 4u

Answers

Answer:

You didnt write the options

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u

In the circus, a tiger has been trained to jump through a ring of fire that has a diameter of 6 feet. What is the ring's circumference?

Answers

Answer:

Radius is going to be 3 since half of the diameter is the radius.

Formula of a circumference you must remember:

2πr

(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.

2 x 3.14 x 3 = 18.84

Which of the following inequalities has the graphed solution below?
zzGroup of answer choices

x − 1 ≥ 0

x − 1 ≤ 0

x + 1 ≥ 0

x + 1 ≤ 0

Answers

I think either x + 1 >_0 or x - 1 >_0, but I personally would choose x + 1 >_0

!!!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

6.5 * 24 = 156

Therefore B

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

HELP NO LINKS JUST ANSWER DUE TODAY

Answers

The value of x is 4.4

This is because to get from 10 to 4 you divide to get a scale image. 10 divided by 4 = 2.5. So to get the same scale length on the other side of the triangle you divide the side length of 11 by 2.5 which = 4.4
I hope this helps! Good luck on your homework!
4/10=x/11

0.4=x/11

x=0.4•11

x=4.4

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

since it is Right angled isosceles triangle it's base side are equal

by using Pythagoras law

x²+x²=1²

2x²=1

x=√{1/2}or 0.707 or 0.71

Let X be a topological space and A ⊂ X. The closure of A, denoted
A¯, is the intersection of all closed sets containing A.
(a) Show that A¯ is the smallest closed subset of X containing A, in
the following sense: if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

Answers

The "closure(A⁻)" of "subset-A" in a topological-space X is the intersection of all "closed-sets" containing A. It is smallest closed subset of X that contains A, means that if A⊂F⊂X and F is closed, then A⁻ is a subset of F.

In order to show that the closure(A⁻) is the smallest closed subset of X  which contains "A", we need to prove that if A ⊂ F ⊂ X and F is closed, then A⁻ ⊂ F,

We know that, A⁻ is intersection of all "closed-sets" containing A. Since F is "closed-set" which contains "A", it is one of the sets in the intersection defining A⁻. So, A⁻ is contained in F.

To show that A⁻ ⊂ F, we consider an arbitrary point x ∈ A⁻, which means that x is in the intersection of all closed sets containing A. Since, F is one such "closed-set" containing A, x must be in F as well.

Since x was an "arbitrary-point" in A⁻, we have shown that every point in A⁻ is also in F, So, A⁻ ⊂ F.

Therefore, we have proved that if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

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