Answer:
{(2,0),(-5,1),(7,8),(6,0),(-7,1)
85/12 because you have to simplify 2 5/6 and it’s 17 /6 and the 2 and 1/2 which turns into 5/2 and you multiply 17/6 x 5/2 and it’s - 85/12
Lagrangian:
where the function we want to minimize is actually
, but it's easy to see that
and
have critical points at the same vector
.
Derivatives of the Lagrangian set equal to zero:
Substituting the first three equations into the fourth gives
Solving for
, we get a single critical point at
, which in turn gives the least distance between the plane and (0, 2, 5) of
.
Given :
Polynomial , .
To Find :
Integration of f(x) .
Solution :
We know , integration of is :
( Here , is C is a constant )
Now ,
Therefore , the integration is .
Hence , this is the required solution .