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
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
(1 point) Write the Maclaurin series for f(x) = 9x2 sin(Sx) as Ženx". no Find the following coefficients. C3= C4= C5= C6= C7E
7. Use information from the derivatives of f(x) to help you gra Find all local maximums and minimums. f(x)x3-9x2 +80 80 50 30 201 10 -6 30 8. For the given cost function Cox)-2-100x+10.000, find: a) The cost of production level 10 b) The marginal cost function? c) The marginal cost at production level 10 d) The production level that will minimize the cost Math 148 Business Calculus Page 3 7. Use information from the derivatives of f(x) to help...