Answer:
More than 50
Step-by-step explanation:
To solve, we need to first see that the function is h(n). Picking main points from the question statement:
- h(n) is the product of all even integers (From 2 to n)
- p is the smallest factor of h(100)+1
- h(100)+1 , here n=100
From here, we can write h(100) as:
h(100) = 
h(100) = 
= 
so,
h(100)+1 =
Now two numbers,
h(100) and h(100)+1 are consecutive integers and since they are consecutive so they are co-prime. Hence they only have common factor of 1. Example, 13 and 14 have only common factor of 1
As h(100) has all prime numbers from 1 to 50 and according to above statement h(100)+1 won't have any prime factor from 1 to 50, so the smallest prime factor p is greater than 50.
7.38 x 10^9 is the correct answer. Hope this helps
Rather than carrying out IBP several times, let's establish a more general result. Let
One round of IBP, setting
gives
This is called a power-reduction formula. We could try solving for 
explicitly, but no need. 
is small enough to just expand 
as much as we need to.
Finally,
so we end up with
and the antiderivative is
Hey!
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Answer:
(-6, 2) and (-7, -1) and (0, 0)
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Explanation:
You reflected the triangle. You needed to translate the triangle.
y + 6 is to move up 6 units along the y-axis.
x - 5 is to move left 5 units along the x-axis.
Another thing, the question doesn't state was transformation to use so we are going to assume we are translating.
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Hope This Helped! Good Luck!
