Parameterize in cylindrical coordinates by
where
with and .
Take the normal vector to to be
Then the flux of across is
Hello!
The denominators are equal, so we can simply combine the numerator:
Combine like terms in the numerator:
Factor out 2 from the entire fraction:
Cancel out 2 from both the numerator and denominator:
Factor the numerator to simplify further:
Cancel out x - 1:
Answer:
The required probability is 0.1667
Step-by-step explanation:
Consider the provided information.
According to Probability Density Function:
Therefore,
The probability that such errors will be between –0.002 and 0.003 is:
Hence, the required probability is 0.1667
45 miles per hour is equal to 45 miles per 60 minutes. Let’s make it into a ratio, 45:60, and simplify it to 3:4 by dividing each by 15. Now, we can multiply the simplified ratio by 10 to get 30:40, which translates to 30 miles in 40 minutes.
Answer: 30 miles