which tells you that the only critical point of
occurs at (2, 1), which does lie within the region
. At this point, we get
.
Next we check along the boundaries of
. They are the lines
with
,
with
, and
with
.
If
, then
, which is monotonically decreasing and must therefore attain its maximum at
and minimum at
. We get
and
.
If
, then
, which is also monotonically decreasing and attains its maximum at
and minimum at
. We get
and
.
If
, then
. We have
, which suggests an extremum occurs at (3, 2). We get
.
So
has a minimum value of 4 at (1, 4) and (5, 0), and a maximum value of 8 at (1, 0) and (3, 2).
9514 1404 393
Answer:
- 28 +10√3
- 81 -30√2
- 54 +36√2
Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
__
2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
Answer:
32
Step-by-step explanation:
The cosine is equal to 90 - the sine angle, so 90-58=32
Answer:hello
Step-by-step explanation:
ok now poop
Answer:
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Step-by-step explanation:
brainlest if helped
