i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.
Thats not enough information
Answer:
terms=3xy2,-6x2y,12xy
factor=3xy2=3,x,y2
=-6x2y=-6,x2,y
=12xy=12,x,y
Step-by-step explanation:
Pls mark as branliest thanks.
Answer:
A = 28 in²
Step-by-step explanation:
Equation for the area of a parallelogram: <em>A = b * h</em>
Plug in: A = 7 in * 4 in
Solve: A = 28 in²
If you roll a fair 6-sided die you can get 1, 2, 3, 4, 5 or 6. In total there are 6 possibilities for the outcomes. The theoretical probability to roll each number of 6 possible is the same and equal to 1/6.
If you roll a fair 6-sided die 600 times, you can expect that near 1/6 of these attempts will get you 3's. Then you expect about 600·1/6=100 3’s (you can't suppose to get exactly 100 3's, because the experimental probability may differ from theoretical).
Answer: correct choice is A.