Answer:
Step-by-step explanation:
Good luck
Answer:
am aorry
Step-by-step explanation:
awfully sorry but i cant
Find the domain of the given funciton
domain is numbers you can use in the function for x
so fractions
remember
never divide by 0
find what number makes denomenator 0 and restrict that
x-8=0
x=8
the domain is all real numbers except fo 8
Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
Supplementary = 180°
Complementary = 90°
180° - 52° = 128°
90° - 52° = 38°
Hope this Helps!!