Using Lagrange multipliers, we have the Lagrangian

with partial derivatives (set equal to 0)




Substituting the first three equations into the fourth allows us to solve for

:

For each possible value of

, we get two corresponding critical points at

.
At these points, respectively, we get a maximum value of

and a minimum value of

.
Answer:
C
Step-by-step explanation:
1/4= 0.25
Answer:
first is linear second is quadratic and third looks like linear
Step-by-step explanation:
1. its a continuous straight line, linear
2. parabola shaped, quadratic
3. again a straight line, so linear
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is

Where,
is the central angle in degrees.
Putting r=10 and
, we get



Therefore, the area of the sector is 12.5π sq. inches.