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
Answer:
2 74/100
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
To calculate the number of tiles needed
divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row
divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column
number of tiles = 20 × 15 = 300
number of packs = 300 ÷ 10 = 30
cost = 30 × £34.99 = £1049.70
Since she has £1000 to spend and £1049.70 > £1000
She does not have enough to cover the wall
Answer:
Yes and she would have $2 left over because all the food costs $91.
Step-by-step explanation:
We should set up an equation so that everything makes sense. A calculator would be wise for this problem, but I am going to lay it out anyhow.
We should convert the mixed numbers to improper fractions to not be confused. 3 1/2 becomes 7/2 or 3.5 and 2 1/3 becomes 7/3.
From your wording, we can assume that the money Mrs. Donnelly has is either greater than or equal to $93.
Thus, we have 12*(7/3) + 18*(7/3) is equal to or greater than 93 (this is an inequality).
The math shows that the food costed 91 and so she only has $2 left.
