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ladessa [460]
3 years ago
5

5 points

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

ima go with B my dude good luck

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Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of
3241004551 [841]

Answer:

c

Step-by-step explanation:

Given that:

\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}

since cos (kπ) = -1^k

Then, the  series can be expressed as:

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its (n+1)^{th term.

∴

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}

= \dfrac{4}{64+2}

=\dfrac{2}{33}

5 0
2 years ago
Can someone help me with this question?????????
pishuonlain [190]
Area of the circle can be calculated using the following rule:
area = pi*(radius)^2

For the first circle:
We are given that:
area = 1040.9 square units ....> I

For the second circle:
We are given that:
radius = 27 units
Therefore:
area = pi * (27)^2 = 2290.221044 square units ....> II

For the third circle:
We are given that:
circumference = 87.92 units
Therefore:
circumference = 2*pi*radius = 87.92
radius = 13.99 units
area = pi*(13.99)^2 = 615.12799 square units ...> III

For the fourth circle:
We are given that:
diameter = 19 units
Therefore:
radius = 19/2 = 9.5 units
area = pi*(9.5)^2 = 283.528 square units ....> IV

Based on the above, the order according to increasing area would be:
IV , III , I , II

hope this helps :)
4 0
3 years ago
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adult
amid [387]

Answer:

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

3 0
3 years ago
HOW AM I SUPPOSED TO DO THIS IF YOU DONT KNOW HOW TO DO THIS DONT HELP AN GET ME SOMEONE THAT WILL someone help me
Romashka-Z-Leto [24]
Just take each number in the first table and divide it by the total then x by 100

Eg the first one 24/120 x 100 = 20%
6 0
2 years ago
Find the percent of change the original cost was 50. And the new cost is 60
Ivan

Answer:

20%

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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