Question

What is the difference between a polynomial or rational equation and polynomial or rationl inequality?

Answer #1

An polynomial equation has an equality sign and, in the case of
only 1 variable, it translates geometrically into a line.

f(x) =a0 + a1 x + a2 x^2 + ... an x^n

we could write y = a0 + a1 x + a2 x^2 + ... an x^n

An polynomial inequality has a greater than or less than sign and,
in the case of only 1 variable, it translates geometrically into a
surface.

y > a0 + a1 x + a2 x^2 + ... an x^n

y <= a0 + a1 x + a2 x^2 + ... an x^n

y >= a0 + a1 x + a2 x^2 + ... an x^n

In this case, we usually don't ewrite f(x) < , > etc, because
it would have problems with the definition of function.

What is the difference between a polynomial regression and a
hierarchical regression?

Reflect on the concept of polynomial and rational functions.
What concepts (only the names) did you need to accommodate these
concepts in your mind? What are the simplest polynomial and
rational function you can imagine? In your day to day, is there any
occurring fact that can be interpreted as polynomial and rational
functions? What strategy are you using to get the graph of
polynomial and rational functions?
The Learning Journal entry should be a minimum of 400 words and...

In rational choice theory, what is the difference between the
criminal event and criminal involvement?

what is the difference between a regular equation and a
differential equation? What are the types of differential
equations?

What is the difference between Reynolds equation set and
Navier Stokes equation?

1. Find all rational zeros of the polynomial, and then find the
irrational zeros, if any. Whenever appropriate, use the Rational
Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule
of Signs, the Quadratic Formula, or other factoring techniques.
(Enter your answers as comma-separated lists. Enter all answers
including repetitions. If an answer does not exist, enter DNE.)
P(x) = 2x4 + 7x3 − 6x2 − 7x + 4 rational zeros x = irrational zeros
x =
2. A...

Solve the rational inequality: {4/(x + 1)} *less than or equal
to* </= {2/(x + 3)}. Give the solution set in
interval notation.

Write the equation of a rational function with the following
characteristics: Vertical asymptotes at x = 3 and x = -4, a
horizontal asymptote at y = 0, no x-intercepts and a y-intercept at
(0, 1/6).
Consider the polynomial q(x) = 3x2 - 11x2
+ kx + 8. Given that q(x) has a factor (x - 4), find the value of
k:
Hence or otherwise, factorize q(x) as a product of linear
factors.

Solve the polynomial inequality. Express the solution using
interval notation.
x cubed plus 6 x squared minus 36 x less than or equals
216x3+6x2−36x ≤ 216
The inequality
x cubed plus 6 x squared minus 36 x less than or equals
216x3+6x2−36x ≤ 216
is true on the interval(s)
nothing.

In a material balance equation what is the difference
between generation and consumption from input and output, need an
example like a chemical steady state to show the difference with
clear text on defining them apart

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