In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points di
2 answers:
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Check for critical points within the unit ball by solving for when the first-order partial derivatives vanish:
Taken together, we find that (0, 0, 0) appears to be the only critical point on
within the ball. At this point, we have 
.
Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian
with partial derivatives (set to 0)
We then observe that
So, ignoring the critical point we've already found at (0, 0, 0),
So ultimately, we have 9 critical points - 1 at the origin (0, 0, 0), and 8 at the various combinations of
, at which points we get a value of either of 
, with the maximum being the positive value and the minimum being the negative one.
Taken together, we find that (0, 0, 0) appears to be the only critical point on
Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian
with partial derivatives (set to 0)
We then observe that
So, ignoring the critical point we've already found at (0, 0, 0),
So ultimately, we have 9 critical points - 1 at the origin (0, 0, 0), and 8 at the various combinations of
Answer:
80,94º
Step-by-step explanation:
What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).
So I calculated the tangent of the angle of the tourist.
The formula is tan=Oposite side/adjacent
And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).
I hope it helped.