Answer:
a. The critcal points are at

b. Then,
is a maximum and
is a minimum
c. The absolute minimum is at
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where

Therefore you have to solve this equation.

From that equation you can factor out
and you would get

And from that you would have
, so
.
And you would also have
.
You can factor that equation as 
Therefore
.
So the critcal points are at

b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

Then,
is a maximum and
is a minimum
c.
The absolute minimum is at
and the absolute maximum is at 
Answer:
the answer is 2100
Step-by-step explanation:
A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14
<u>Solution:</u>
Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.
They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)
We have to create a function that would represent profit based on the number of cups of lemonade
Now, let the number of cups sold be "n"
Then , we know that,<em> profit = selling price – cost price </em>
Profit = number of cups sold x price per cup – cost price
Profit = n x $ 1.5 – $ 14
Profit = 1.5n – 14
Hence, the function is Profit = 1.5n - 14
Answer:
A and D
Step-by-step explanation:
Total ice cream bars sold = sum of chocolate sold , vanilla and strawberry ice-creams sold.
=(1/2)x2 + (6/11)x + 8 + (5/9)x2 + (2/3) +(1/3)x2 + 4x +(4/3) (Given in the question)
=(25/18)x2 + (50/11)x + 10 (Adding terms corresponding to x2,x ,constant respectively)
Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]
= (1/6)x2 - (38/11)x +(20/3)
So, the correct options are A and D