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Bogdan [553]
2 years ago
6

Find the circulation of Bold Upper F equals 5 x Bold i plus 7 z Bold j plus 6 y Bold k around the closed path consisting of the

following three curves traversed in the direction of increasing t.
Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

Answer:

The circulation of the given vector is (5/2)x² + 7yz + 6yz + C

Step-by-step explanation:

Given that F = 5xi + 7zj + 6yk

The circulation of F is given as

Integral of F.dr

dr = idx + jdy + kdz

F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)

= 5xdx + 7zdy + 6ydz

Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)

= (5/2)x² + 7yz + 6yz + C

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Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards
amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

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- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

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                                       a < b < c.

- The total possible combinations with 3 numbered cards will be:

                                       a b c

                                       b a c

                                       a c b

                                       b a c

                                       b c a

                                       c a b

- We have 6 possibilities for 3 numbered cards. So the probability of  of each subsequent card being larger than the previous drawn card would be:

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                                    P = 1 / 6

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