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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
Answer:
XY is 4 units.
Step-by-step explanation:
We are given the following in the question:
Right triangle ABC is similar to triangle XYZ.
AB = 20.8 units
BC = 36.4 units
YZ = 7 units
We have to find the length of side XY.
Since the given triangles are similar, they have the following property:
The ratio of corresponding sides of similar triangles are equal.
We can write,
Putting the given values, we have,
Thus, the length of XY is 4 units.