The Lagrangian,

has critical points where its partial derivatives vanish:





tells us
, so that


Then with
, we get

and
tells us

Then there are two critical points,
. The critical point with the negative
-coordinates gives the maximum value,
.
Answer: Common Name Scientific Name
Lilac More about Lilac... Syringa
Lily Lilium
Lotus Flower More about Lotus Flower... Nelumbo
Marigold More about Marigold... Tagetes
Step-by-step explanation:
1) Carnations. These ruffly flowers are perfect for the romantic on a budget. ...
2) Irises. Purple is the color of royalty, so it's no wonder that these flowers stand for faith and hope. ...
3) Lavender. This sweet-smelling flower is given to others as a sign of devotion. ...
4) Roses. ...
5) Tulips. ...
6) Sunflowers. ...
7) Gardenias. ...
8) Orchids.
The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number),[1] sign change, and negation.[2] For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.
The slope intercept form looks like this y=mx+b
m=slope
b=y-intercept
Hope this helps.
Answer:
= 20 - 9n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 11 = - 7 - 2 = - 9
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = - 9 , then
= 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n