Answer:
attached below
Step-by-step explanation:
The Function; F(x) = x^2 / (x^4 + 81 )
power series representation
F(x) = x^2 / ( 81 + x^4 )
= ( x^2/81 ) / 1 - ( -x^4/81 )
attached below is the remaining part of solution
Answer:
Step-by-step explanation:
Since both equations equals y, then both equations equal each other.
3x - 1 = 2x + 2
Subtract 2x from both sides
x - 1 = 2
Add 1 to both sides
x = 3
Plug x = 3 into one equation(doesn't matter which)
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
well, first off, we do a quick prime factoring of the leading term's coefficient, 35, and the constant, 16.
35 = 5*7
16 = 2*2*2*2
and the rest is just a mix and match.
what combination from the factors of 35 and the factors of 16, can provide a product whose sum is the middle term 26? well, without further adieu.
we can try 5*2*2 + 7*2*2, and that's 20 and 28, ok, 28 - 20 is 8, so that won't work.
another can be 5*2*7 and 2*2, that's 70 and 4, 70 - 4 is 56, that won't work either.
5*2*2*2 and 7*2, that's 40 and 14, hmmm 40 - 14 = 26!!! holly guacamole!
so then,
