Step-by-step explanation:
We are given:
This can be rewritten as
Next, we can bring the x's and y's to their respective sides by dividing by coty and x and then multiplying the dx to the other side. We can then change into . This gives us the differential
Now we can integrate each side
To integrate tan(y), we need to manipulate it
Now we can use u-substitution where
This gives us
Now, lets integrate both sides
Next, we can substitute our u value back in
Now we can add to the other side and subtract c from each side. This gives us
Next, we can apply a property of logarithms to combine this sum of two logs into one log.
Lastly, we can add a base e to each side to remove the ln
And here is our answer.
Answer:
87 million
Step-by-step explanation:
Answer:
hy8tt utf ty uh
Step-by-step explanation:
huhhhfg jk o0 j.g
There would be14
Step-by-step explanation:
Answer:
It is a multiple of 8
Step-by-step explanation:
The product may or may not be a factor of 8. We usually think of the factors of an integer as being positive integers, so the factors of 8 would be 1, 2, 4, or 8. If 8n is to be a factor of 8, then n must be 1/8, 1/4, 1/2, or 1. This will not be the case in general.
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The product of 8 and any number is a multiple of 8. (Again, we usually think of a multiple of 8 as being an integer, which would require the number n to be an integer.)
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No product of two (integer) numbers is a prime number. If 8n is to be a prime, then the value of n must be <em>(some prime number)/8</em>. Again, this will not be the case in general.
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n is a factor of the product; not the other way around.