Answer:
D.
Step-by-step explanation:
The point must be a critical point but it could be a saddle point. If the point is a saddle point it would not be neither a maximum nor a minimum. So it must be critical but it does not follow directly that it has a local maximum or local minimum.
Therefore D. (a,b) would be a candidate, but is not necessarily a maximum or minimum. It could be a saddle.
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
270÷60=4.5
Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) =
=
= -2
<em>The slope would be -2.</em>
<em />
Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
<em>The slope is -2.</em>
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)