Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer:
Step-by-step explanation:
Penis
We can round 5.65 up to 6 and 3.4 down to 3.
3 * 6 = 18
now let's see how close our estimate is to the real answer
5.65 * 3.4 = 19.21
Our answer was pretty close to the real answer!
Hope I helped!
~ Zoe
Answer:
If
y
varies inversely as
x
then
XXX
x
⋅
y
=
c
for some constant
c
We are told when
x
=
2
then
y
=
15
So
XXX
2
⋅
15
=
c
XXX
⇒
c
=
30
and
XXX
x
⋅
y
=
30
Therefore when
y
=
3
XXX
x
⋅
3
=
30
XXX
→
x
=
10
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
5/9 = 0.5555555
The smallest sequence of repeating digits in the decimal equivalent of 5/9
0.5
0.5 + 0.05
0.5 + 0.05 + 0.005
0.5 + 0.05 + 0.005 + 0.0005
Hence, the number of digit in the smallest sequence of repeating decimal is 1
5/9 = 0.5....