Let's see it...
-x+0+(-x)=0 ???
There is a + before the parenthesis, the sign is the same.
-x+0-x = 0
Since the x have equal sign, we add them to get -2x
We have 2x - 0 = 0
Move the zero to the right, so 2x = 0
Divide both for 2...
x = 0
Substitute 0 to x, so -0+0+(-0) = 0
0 = 0 the statement is true
The Lagrangian is
with partial derivatives (all set equal to 0)
for 
, and
Substituting each 
into the second sum gives
Then we get two critical points,
or
At these points we get a value of 
, i.e. a maximum value of 
and a minimum value of 
.
Yes, although this is unlikely as every time she flips the coin there is a 50% chance of getting heads. Therefore, there is a possibility of her getting heads every time
Answer:
12 ft
Step-by-step explanation:
Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft. Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:
(13 ft)^2 = y^2 + (5 ft)^2. Then y^2 = 144 ft^2, and y =height= 12 ft
