I beg for someone. I need a maximum, minimum, domain, and range of polynomial:
1 answer:
Answer:
- domain: all real numbers, (-∞, ∞)
- range: all real numbers, (-∞, ∞)
- maximum: +∞
- minimum: -∞
Step-by-step explanation:
The function is an odd-degree polynomial. The domain and range of any odd-degree polynomial is (-∞, +∞). It has no finite maximum or minimum.
There are 3 local maxima, and 3 local minima. The ones that are non-zero are irrational. Those are about -150.018, -580.455, and 578.545. If you're seriously expected to solve for these values, no doubt you have been given a method for doing so. Use that method.
These local extreme values are reported by the Desmos on-line graphing calculator.
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Answer:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Step-by-step explanation:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Let 
. Then 
and 
are two fundamental, linearly independent solution that satisfy
Note that
, so that 
. Adding 
doesn't change this, since 
.
So if we suppose
then substituting
would give
To make sure everything cancels out, multiply the second degree term by
, so that
Then if
, we get
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)
Note that
So if we suppose
then substituting
To make sure everything cancels out, multiply the second degree term by
Then if
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)