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Sketch the graph of f(x) = 4x^3 - x^4, clearly indicating any critical points, points of inflection, intervals on which f is increasing or de- creasing, intervals on which f is concave up or concave down and x- and y-intercepts.
According to an old myth, Native Americans sold the island of Manhattan about 400 years ago for $24. If they had invested this amount at an interest rate of 7 percent per year, how much would they have today?
Due to the changing environment and external triggers, contingency planning is necessary. What qualities make a future issue a "trigger"?
on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.
About 20% of the population is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic?
In 2001, 400 seat Boeing 747s were priced at $200 million each, 300 seat Boeing 777s were priced at $160 million, and 200 passenger Airbus A321s were priced at $60 million.
The distance around a tennis court is 336 feet. If the length of the court is 3 feet more than twice the width, find the dimensions.
thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world.
An insurance company's researcher is interested in determining
the equation a=25000 - 1500t, where t is the time in minutes and a is the altitude in feet, represents the steady decent of a certain aiplane. Graph the equation using the x- and the y- intercepts. How long will it be before the airplane reaches t..
a. Calculate their investment ratio reduced to the lowest terms.
you are considering starting a walk-in clinic. your financial projections for the first year of operations are as
Assuming that the yield per tree depends linearly on the number of trees in the orchard, what should you do this year to maximize your total yield?
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