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:
10/3 lawn
Step-by-step explanation:
2/3 of a lawn in 1/5 hour
-> 1 hour cab mow = 2/3(lawn) ÷ 1/5(hour)* 1(hour)
= 10/3 = 3,666666667 lawns
Answer:
x^2+y^2-32x+24y+375=0
Step-by-step explanation:
Equation of circle with given centre (h,k) and radius=r is
(x-h)^2+(y-k)^2=r^2
Given centre are=(16, - 12) and radius= 5
So equation of circle=
(x-16)^2+(y- -12)^2=5^2
x^2-32x+256+y^2+24y+144=25
x^2+y^2-32x+24y+375=0
Answer
Answer:
1
3
4
Step-by-step explanation:
Answer:
<em><u>5/18</u></em>
Step-by-step explanation
when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!
I hope this helps!