Stickers are made with the same ratio of width to length. A sticker 2 inches wide has a length of 4 inches. Complete the table.
1 answer:
Answer:
The explanation of this question is given below in the explanation section
Step-by-step explanation:
The data is given in form of length and width.
Then, we need to convert it into improper fraction.
As you know that, the improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number).
So, we converted it into improper fraction i.e.
Improper fraction= lenght/width
Then we reduce the fraction into lowest form and shown in ratio as depicted in attached picture with this solution.
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Answer:
Step-by-step explanation:
Volume =
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3