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Dmitry_Shevchenko [17]
3 years ago
13

Determine the taylor series about the point x0=2 for the function 11−x. determine the radius of convergence of the series.

Mathematics
1 answer:
just olya [345]3 years ago
6 0
Try this solution, if it is possible check it in the other sources.
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'.

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First six shipments:
tester [92]
For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1  10 |
2  16 = 10 + 1(6) |
3  22 = 10 + 2(6) |
4  28 = 10 + 3(6)|  
5  34 = 10 + 4(6) |
6  40 = 10 + 5(6) |

From these, we can observe that given x number of shipments, the total number of objects would be 10 + (x-1)6 = 10 + 6x - 6 = 6x +4. Thus, given f(x), we have 

f(x) = 6x + 4
Answer: f(x) = 6x + 4

3 0
3 years ago
Degree 3 polynomial with zeros 4, 6, and -2.
hjlf

Answer:

Step-by-step explanation:

hello :

an Degree 3 polynomial with zeros 4, 6, and -2 is :

f(x) = (x-4)(x-6)(x+2)

all polynomial are : a (x-4)(x-6)(x+2)      a ≠ 0

4 0
3 years ago
The radius and height of a cone are 8 cm and 15 cm respectively find its curved surface are
drek231 [11]

Answer:

Curved surface area of a cone =πrl.

3.142×8×15=377.04cm

8 0
3 years ago
The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of pi is 3.14
tangare [24]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
----------\\
r=8\\
A=125.6
\end{cases}
\\\\\\
360A=\theta\pi r^2\implies \cfrac{360A}{\pi r^2}=\theta\implies \cfrac{360\cdot 125.6}{\pi 8^2}=\theta
4 0
3 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
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