

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
.
Answer:
x= 1, x= 4, and x= -3
Step-by-step explanation:
Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.
Notice in particular that x = 1 is a root (makes f(1) = 0):

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.
As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: 
This is now a quadratic expression for which we can find its factor form:

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.
Mark these values on the number line as requested.
Answer:
A
Step-by-step explanation:
it is going from low to high
Answer:
x = 41; B = 41°; A = 77°
Step-by-step explanation:
All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.
You need to move your contents e.I. 3,4,5 and your variables e.I.2x, 5y, 2z first