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A certain bacteria population is known to double every 150 minutes. Suppose that there are initially 90 bacteria.
What is the size of the population after hours?
An investment grows by 23% over a 3-year period. What is its effective annual percent growth rate?
a paint mixture contains 7 gallons of base for every gallon of color. In 208 gallons of paint, how many gallons of color are there?
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
Carry out the test in (a) at the 5% level. What is your conclusion: is the new version of the test harder than the old one? Justify your answer.
Application of the Binomial Distribution to an Aircraft. Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft fa..
Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b. Given a= and b = determine whether a and b are parrallel, perpendicular, or neither.
Find the height and radius of the largest right circular cylinder that can be out into a sphere of radius (square root of 3).
In calculus, the function f(x) = e^(-x^2) is always given as an example of a function that "you cannot integrate" because one cannot guess an elementary function F such that F'(x) = e^(-x^2). Find a power series for F.
Find the area enclosed by the given curve and the y-axis.
Each page of a book will contain 30in^2 of print, and each page must have 2-in margins at top and bottom and a 1-in. margin at each side.
A division of Carter Enterprises produces "Personal Income Tax" diaries. Each diary sells for $9. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each diary is $4.
Fnd two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.
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