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Find the nonnegative numbers x, y and z that minimize the quantity M=x^2+y^2+z^2 subject to the condition (x^4)*(y^2)*z=1. Please show all work.
Find the probabilities using the Table or software of your choice. Please explain how you obtained your results. The serum cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 and a standard deviation of 40.7
Find the number of calculators produced from the beginning of the third week to the end of the fourth week. (Round your answer to the nearest integer.)
you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
Verifying some important results over real valued functions - real-valued functions
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
Each glass of milk has 8 grams of protein, 11 grams of carbohydrates, and 260 milligrams of calcium. How many servings of each food should the dietitian provide the patient?
Define a relation R on the set of all integers Z by xRy iff x+y = 3k for some integer k. Is R an equivalence relation on Z? Why or why not?
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
Application of calculus
If the material for the base costs $0.30 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.20 per square foot, determine the dimensions of the box that can be constructed at minimum cost..
a market survey suggests that, on average, one additional unit will remain vacant for each $1 increasein rent. What rent should the manager choose to maximize revenue?
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