Consider the following.
f(x) = x3 - 9x2 + 1




Consider the following function :
QUESTION 1 Consider the following function x3 - 1 f(x) X - 1 = Evaluate the function f(x) for the given values of x. (You may use a calculator for this problem.) 1. f(0.9) = 2.71 2. f(0.99) = 3. f(0.999) = 4. f(1.001) = 5. f(1.01) = 6. f(1.1) =
Please answer (c)!
(a) Prove that p(x) = x3 + 9x2 + 18x + 13 is irreducible over Q. (b) Factorise 224 – 1 into monic irreducibles over Q, explaining carefully why each factor is irreducible. (c) Identify all possible isomorphisms between the following quotient rings: F5[x]/(22+x+1), F5[x]/(x² +2+2), F5[2]/(x2 + x + 3).
Find the set of possible rational zeros given the function. 4) f(x) = 2x3 + 9x2 + 12x - 8 Find all the zeroes given a factor. 5) f(x) = x3 - 5x2 + 4x + 6 and (x-3) is a factor. 6) f(x) = x3 - 8x2 + 18x - 12 and (x-2 is a factor.
Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...
use applications of the fundamental theorem of algebra, linear factorizarion theorem, rational zero test 1. f(x)=4x3-9x2-8x-3; x=3 2.g(x)= x3-2x2+9x-18; x=3
Consider the linear system described by: 10 x1 + 9x2 +8 x3 + 8 x4100 10 x1 + 9 x2 +8x3 6 x4 70 6x, + 10x2+9x3 +8x4-50 6 x1 10 x2 +8x3 +0.01 x420 Write a Matlab script to: a) Find the solution (x) b) Find the: codon number of the sysicern c) Find the number of unreliable digits in the answer d) Find a value for b such that x3 0 (Hint: b1 decreases from 100, use increments...
Consider the function S Ax? f(x) = - { x < 3 17 - Ax x3 Find a value of A so that the function is continuous at x = 3. - 12/17 17/12 12/17 17/3 - 17/12
(1 point) Write the Maclaurin series for f(x) = 9x2 sin(Sx) as Ženx". no Find the following coefficients. C3= C4= C5= C6= C7E
Please answer with work
Determine all critical points for the function. 9) f(x) = x3 - 9x2 + 8 9) A) X = -3 and x = 3 B) x = 0 and x = 3 C) x = 0 D) X = 0 and x = 6
Consider the following group of differential equations y´+y=F(x), where F(x)= x2, x3,...,xn F(x)= sen x F(x)= [x] Resolve taking into account the above: a. Find the solution for each of the differential equations b. Discuss the trend approach between y (x) and f (x) c. Describe characteristics of the pattern that constitutes the expression of the solution y (x) and discuss it in the light of any known method Please help me to solve!