Answer: The volume of largest rectangular box is 4.5 units.
Step-by-step explanation:
Since we have given that
Volume = 
with subject to 
So, let 
So, Volume becomes,

Partially derivative wrt x and y we get that

By solving these two equations, we get that

So, 
So, Volume of largest rectangular box would be

Hence, the volume of largest rectangular box is 4.5 units.
16 Ounces, I hope this helps, Mark me brainliest
Answer: 20 pounds.
Step-by-step explanation:
We know the weight of each flower arrangement (each one weighs 6 2/3 pounds) and the total number of flower arrangaments Isabelle ordered (3 flower arrangements).
To make the calculus easier, we can rewrite the mixed number 6 2/3 as a decimal number:
Divide the numerator 2 by the denominator 3 and add the result to the whole number 6:

If 1 arrangement weighs 6.666 pounds, the total weigth of 3 arrangements can be calculated by multiplying 6.666 pounds by 3:

Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
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