Answer:
3.162
Step-by-step explanation:
√10 = 3.162
Parameterize the surface (call it ) that has as its boundary by
with and .
Take the normal vector to to be
Compute the curl of . We have
Then by Stoke's theorem, the line integral is
We can verify this result by computing the line integral directly. Parameterize by
with . Then
Let's consider two prime numbers where each is larger than 2
Say the primes 7 and 11. Adding them gets us 7+11 = 18. This counter example disproves the initial claim since 18 = 9*2 = 6*3 making 18 composite (not prime)
In general, if we let p and q be two primes such that q > p > 2 and q is the next prime after p, then p and q are both odd. If any of them were even then they wouldn't be prime (2 would be a factor)
Adding any two odd numbers together leads to an even number
Proof:
p = 2k+1 where k is some integer
q = 2m+1 where m is some integer
p+q = 2k+1+2m+1 = 2(k+m) + 2 = 2(k+m+1) which is in the form of an even number
That proof above shows us that adding any prime larger than 2 to its next prime up leads to an even number. This further shows us that the claim is false overall. It is only true if you restrict yourself to the primes 2 and 3, which add to 5. Otherwise, the claim is false.
<h3>
Answer: 1320 (choice C)</h3>
Explanation:
There are 12 choices for left field.
Then there are 12-1 = 11 choices for right field.
Lastly, there are 11-1 = 10 choices for center field.
In total we have 12*11*10 = 1320 different permutations or orderings.
Answer:
The radius is 60 degree so the whole diameter will be 120 degree now find the arc