Use | S − S N | ≤ b N + 1 to find the smallest value of N such that S N approximates the value of the sum S to within an error of at most 10 − 4 . S = [infinity] ∑ n = 1 ( − 1 ) n + 1 n ( n + 4 ) ( n + 5 )

answer: it's upside down and i can't read it

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer

your mom

step-by-step explanation: