Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.
Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
The 30% off is $82.50 cheaper. Which would be $192.50
The y-intercept is being changed. In the equations given we are using the formula (y=mx +b), b means the y intercept. In this we are changing the y intercept from 2 to -1. There is nothing else being changed.
Answer:
0 and 4
Step-by-step explanation:
0+0=0
2+2=4
hope this helps