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1. If you were to grow plants in a rectangular-shaped garden with a perimeter of 10 ft, what is the maximum area you can achieve?
2. Assume that the function H(t) gives the height in ft of a stone thrown vertically upward at a velocity of 20 ft/s. How high does the stone go?
3. Back at work as a clown, you are pumping gas into a spherical balloon so that its volume increases at a rate of 2 in3/s. What is the rate of change of its radius when it is 6 inches?
4. Assume that ABC Airlines has a policy that states the baggage must be box-shaped and its sum of height, width and length must not exceed 108 inches. 1) What dimensions (length, width, height) would give the maximum volume and 2) what is the maximum volume?
5. Given that a company's net sales in billion is given by S(t) where t is the number of years since 2000. What were the 1) net sales and 2) rate of change in sales in year 2010?
Given that a respondent is over age 50, what is the probability that he or she gets news primarily from newspapers?
On the same chart, produce a graph showing the original probability mass function, and a line graph showing your selected continuous probability density function.
Show that the condition ensuring a limiting distribution holds in this case. What is the limiting distribution? What can you say if there are four chairs rather than five?
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
In a poll of 150 randomly selected adults 78 said they favored a new proposition. compute a 95% confidence interval for the proportion of all adults in favor of the proposition at the time of the poll.
If the market research gave a positive indication the price would be £35,000. If the market research gave a negative indication the price would be only £3,000.
consider the following experiment a ball is drawn without replacement from an urn containing two red and three blue
our bodies have a natural electrical field that is known to help wounds heal. does changing the field strength slow
a linear program has been solved and sensitivity analysis has been performed. the ranges for the objective function
Show how these four examples, when examined together, demonstrate the implementation of programs that varied on the role of government in addressing the situation, on the specific kinds of activities upon which they concentrated, and on the method..
The following data are indexed prices of gold and copper over a 10-year period. Assume that the indexed values constitute a random sample from the population of possible values. Test for the existence of a linear correlation between the indexed pr..
the data below are sales y in thousands of dollars per week for home improvement outlets in each of four cities. the
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