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kkurt [141]
4 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]4 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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An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,
Serjik [45]

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

y=a(1-r)^t

Where, a is the initial value r is the rate of interest and t is time period.

Putting a=800,r=0.082,t=15 in the above formula, we get

y=800(1-0.082)^{15}

y=800(0.918)^{15}

y=221.68188

y\approx 221.7

Therefore, the mass of the remaining element is 221.7 grams.

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GOOD MORNING! \(:0:)/
Elza [17]

Answer:

Good morning.

Step-by-step explanation:

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8 0
3 years ago
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What is the measure of the missing angle?​
Degger [83]

Answer:

115

Step-by-step explanation:

3 0
4 years ago
Need help please for school thank uuuuu
kramer

Answer:

>

Step-by-step explanation:

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