Whenever it says divide just flip the fraction and change it to multiply
Domain is the x-coordinate and range is the y - coordinate
1, 3, and 5 because you can multiply all these numbers to get 15
Answer:
m=8
Step-by-step explanation:
-5m=-40
divide both side by -5
-5m=-40
-5=-5 answer is m=8
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.