Answer:

Step-by-step explanation:
The generating function a(x) produces a power series ...

where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...

This can be rearranged to ...

We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
a(x) = 1/(1+2x)
Answer:
Step-by-step explanation:
(-6,7) & m = -2
point slope form of line : y - y₁ = m (x-x₁)
y - 7 = (-2) (x - [-6] )
y - 7 = (-2) (x + 6)
y - 7 = -2x - 2 * 6
y - 7 = -2x - 12
2x + y = -12 +7
2x + y = -5 0r y = -2x - 5
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.
10 minutes before 9 is 8:50. since any time on the hour is at a perfect 60 minutes, you subtract the minutes given and move 1 hour back to find your answer.
for example, if you were asked what 20 minutes before 10 was. you start by subtracting 20 from 60. 60-20= 40, this being your minutes. 10-1 is 9, this being your hour, making the final answer 9:40.