The Lagrangian is
with critical points where the partial derivatives vanish.
Substitute 
into the last equation and solve for 
:
Then we get two critical points,
We get an absolute maximum of 
at the second point, and an absolute minimum of 
at the first point.
The number in brackets represents the percentage change
1.045
the 1 shows that it is an increase and the .045 shows the percent
for example 1.55 would be 55% increase and 1.555 would be 55.5% increase
Answer:
the one on the bottom left, with 23 all by its lonesome
Step-by-step explanation:
This essentially means 12-8
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive
So the answer is 4
Answer:
2 seconds
Step-by-step explanation:
Given
h = - 32t² + 64t
When the frisbee lands the height h = 0, that is
- 32t² + 64t = 0 ( multiply through by - 1 )
32t² - 64t = 0 ← factor out 32t from each term
32t(t - 2) = 0
Equate each factor to zero and solve for t
32t = 0 ⇒ t = 0
t - 2 = 0 ⇒ t = 2
t = 0 represents when the frisbee was thrown
and t = 2 when it lands
Hence it takes 2 seconds for the frisbee to land.
