Answer:
no
Step-by-step explanation:
To be a function, the x values must correspond to one and only one y value.
In the coordinates given, (0.3, 0.6) and (0.3, 0.7) have the same x- value.
That means that they cannot be a function.
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Let’s take a look at the definitions of all of these categories of polygon:
A rhombus is a quadrilateral with four equal-length sides
A trapezoid is a quadrilateral with at least one pair of parallel sides
A kite is a quadrilateral with two pairs of equal sides, where those sides are adjacent to each other
A quadrilateral is a four-sided polygon
And let’s compare our definitions with the figure:
- None of the sides of the figure are equal to each other, so we it can’t be a rhombus
- The slopes of all of the sides are different, so the figure can’t have a pair of parallel lines, ruling out the chance that it’s a trapezoid
- That first bullet point also rules out the possibility that our figure is a kite
- Our figure *is* a four-sided polygon though, so it meets the requirements for a quadrilateral
So, the only label that works for this figure is a *quadrilateral*.
Using the method of Lagrange multipliers, we have the Lagrangian
with partial derivatives (set equal to 0)
From
and
, we find that
. Then substituting into
, we find
and substituting these into
, we get
So we have two possible critical points,
, which give extreme values of
and
, respectively.
Answer:
3150^3
Step-by-step explanation:
