Math Answers

Classify the critical points of f(x,y)= 4+x^3 + y^3 -3xy

Find the minimum value and maximum value of f (x,y,z)= 8x^2 -2y subject to x^2 + y^2 =1

Find the maximum value and minimum value of f(x,y,z)=xyz subject to x+y+z=1 x≥0; y≥0; z≥0

Evaluate integral of c (xy^4) ds where c is right half of the circle x^2 + y^2 =16 traced out in a counter clockwise direction parameterized using x=4cost, y=4sint

suppose that you are searching for a room for rental at makweng until you find a place that will satisfies your needs. Suppose that the probability of finding the right place is 0.4. what is the probability that you do not choose at least the forth room of the rooms you have checked.

Show, by the use of the truth table/matrix, that the statement (p v q) v [( ¬p) ∧ (¬q)] is a tautology.

There are 10 defective light bulbs in a bin containing 20 light bulbs. In how many ways can you select at most 2 defective light bulbs when you choose 10 light bulbs at random?

find the variance and stand deviatio of the probability distribution of the random variable x, which can take only the values 2,4,5 and 9 given that P(2)=9/10. P(4)=1/20. P(5)= 1/5.P(9)= 3/10

Under a certain condition , cane sugar in water is converted into dextrose at a rate proportional to the amount that is unconverted at any time . If 75 kg at t =; 0, 8 kg are converted during the first 30 minutes , find the amount converted in 2 hours .

Three balls of different colors are numbered 1, 2, and 3, Construct a

sampling distribution with n=2. Make a histograrn for this sample

distribution.