Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points. f (x, y) = x^2 + y^2 + 2xyf(x, y)=x 2 +y 2 +2xy

---- critical point

local minima

Step-by-step explanation:

Given

Required

Determine the critical point

Differentiate w.r.t x

Differentiate w.r.t y

Equate both to 0

Divide by 2

----- in both equations

Hence:

The critical point is:

Solving (b):

We have:

This is represented as:

Calculate the determinant

The critical point is at local minima

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: