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A certain drug is made out of two compounds only: compound A and compound B. To make this drug, parts of compound A are used for every parts of compound B. If a chemist wants to make milliliters of this drug, how many milliliters of compound A are needed?
Consider an annuity-immediate with monthly payments for twenty years. The payments are level in the course of each year, then increase by 2% for the next year. Find the present value of this annuity if the initial payment is $1, 000 and i = 4%.
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets.
Last season a major league baseball player got 120 hits in 240 times at bat. If the player expects to bat 500 times in the entire season with the same ratio of hits to at bats, how many hits can the player expect to have?
Probability - offspring, For a certain animal species, the probability that a female will have a certain number of offspring in a given year is given
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
What is the inverse Laplace transform of (s+1)/((s+4)(s+5)(s+3))? Show work using partial fraction expansion and using Heavside method.
Prove that the set of interior points of a set A is equal to the union of open sets O, such the O is a subset of A
What is the importance of understanding how to set up and solve equations and inequalities.
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