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tatyana61 [14]
2 years ago
14

What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?

Mathematics
1 answer:
Murrr4er [49]2 years ago
7 0
Depending on how the function is set up, i presume that it is a sum (epsilon) function that is being referred to. Depending on if the function is increasing or decreasing on the interval (infinity to 6??), will determine if the function is convergent or not. When 1 is plugged into cos((\pi n)n it is positive and therefor converging. 
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Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷
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c) 64.1 oz

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a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

1\ ton=32000\ oz\\\\1\ lb=16\ oz

so, it becomes,

8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz

8 T. 1,398 lb. 14 oz. × 6 becomes

278382\times 6\\\\=1670292\ oz

b) 349 lb. 6 oz. ÷ 130

It becomes,

349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz

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First it becomes,

6\times 32000+294\times 16\ oz\\\\=196704\ oz

At last it becomes,

\frac{196704}{3071}\\\\=64.1\ oz

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

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Answer:

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