Use Lagrange multipliers to find the indicated extrema of f subject to two constraints. Assume that x, y, and z are nonnegative. Maximize f(x, y, z) = xyz
Constraints: x + y + z = 32, x − y + z = 4
f( ) =( )

Arandom number generator is used to model the patterns of animals in the wild this type of study is called

Find the unit rate. enter your answer as a mixed number. a fertilizer covers 2/3 square foot in 1/2 hour.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)