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kkurt [141]
3 years ago
6

Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the se

ries with an error of less than 0.001. [infinity] (−1)n + 1 n2 n = 1

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

at N ≥ 6

Step-by-step explanation:

Error permissible = 0.001

The series = infinity  

at ( N + 1 ) ! > 1000  the inequality N ≥ 6 is valid and holds

attached below is the detailed solution using alternating series remainder

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A.) all real numbers <br> B.) y&gt;6<br> C.)y is greater than or equal to -6<br> D.)x= √6 or -√6
Gemiola [76]

Answer:

C.) y is greater than or equal to -6

Step-by-step explanation:

The range are all the set of y-values that are plotted on the vertical axis (y-axis).

The range starts from -6 and above. Which is y ≥ -6

Therefore, range of the function is said to be:

C.) y is greater than or equal to -6

7 0
2 years ago
How can Kendra determine if the function is actually linear?
pashok25 [27]

Answer:

D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Step-by-step explanation:

Find the rate of change between first two ordered pairs and the second two ordered pairs:

1. Points (2,4) and (3,9). Rate of change:

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-4}{3-2}=\dfrac{5}{1}=5

2. Points (3,9) and (4,16). Rate of change:

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-9}{4-3}=\dfrac{7}{1}=7

The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.

8 0
3 years ago
Read 2 more answers
Assume that there are 2 trials.
vampirchik [111]
Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.
7 0
3 years ago
Read 2 more answers
What is the distance between R(5,2) and S(4,-7)?<br><br> Round to the nearest tenth.
Naddik [55]
You can calculate the distance between two point using this fomula: 

√(x_2-x_1)^2+(y_2-y_1)^2


If you insert you values you get:

 √(4-5)^2+(-7-2)^2 = 9.06 = 9.1
5 0
3 years ago
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15 ?
AysviL [449]
Perpendicular means that it has a slope that is the reciprocal of the original, and parallel means that the slopes are the same.
8 0
3 years ago
Read 2 more answers
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