sketch the polynomial y=3x4-6x2
a) intervals for the function is increasin or decreasing
b) First Derivative test for relative extrema
c) Intervals for which the function is concave up or concave
down
d) Inflection Points
e) Sketch the graph. Label Key Points
Consider the following linear optimization model.
Z = 3x1+ 6x2+ 2x3
st 3x1 +4x2 + x3 ≤2
x1+
3x2+ 2x3 ≤ 1
X1, x2, x3 ≥0
(10) Write the optimization problem in standard form with the
consideration of slack variables.
(30) Solve the problem using simplex tableau method.
(10) State the optimal solution for all variables.
1. Solve the following system:
2x1- 6x2- x3 = -38
-3x1–x2 +7x3 = -34
-8x1 +x2 – 2x3 = -20
By:
a. LU Factorization
b. Gauss-Siedel Method, error less that10-4
Hint (pivoting is needed, switch rows).
Sketch the region bounded above the curve of y=(x^2) - 6, below
y = x, and above y = -x. Then express the region's area as on
iterated double integrals and evaluate the integral.
Analyze the function f and sketch the curve of f by hand.
Identify the domain, x-intercepts, y-intercepts, asymptotes,
intervals of increasing, intervals of decreasing, local maximums,
local minimums, concavity, and inflection points. f(x) =
((x−1)^3)/(x^2)