-2,-7 because you go the same ammount in the opposite direction
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.
Answer:
C)
Step-by-step explanation:
the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254
Answer:
angle y is 64⁰
Step-by-step explanation:
There are 2 ways to solve this.
first,
they are alternate angles
second,
you can solve by
180-64=116 (on a straight line)
180-116=64⁰
I'm not really good at explaining but hope this helps :)
Answer:
<u>Option B. sin(s) = cos(u)</u>
Step-by-step explanation:
The rest of the question is the attached figure.
Complementary angles - two angles that add to 90 degrees.
The sine of one of them will be equal to the cosine of other angle.
For the attached figure:
The set all complementary angles are:
- angle s and angle t
- angle u and angle v
- angle s and angle u
- angle t and angle v
We will check the options:
A. sin(t) = sin(u) ⇒(<u>wrong</u>) because t and u are not complementary angles
B. sin(s) = cos(u) ⇒ (<u>True</u>) ⇒ s and u are complementary angles and sine of one of them will be equal to the cosine of other angle.
C. cos(s) = sin(v) ⇒(<u>wrong</u>) because t and u are not complementary angles
D. cos(t) = cos(v) ⇒(<u>wrong</u>) because t and v are complementary angles but sine of one of them should be equal to the cosine of other angle.
<u>The answer is option B. sin(s) = cos(u)</u>