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There are three problems in one question.
a) In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin
b) Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
c) Evaluate the integral
Use Taylor's expansion to arrange the function in ascending order - explain briefly how the Taylor expansions tell you what order the functions
FInd the probability that exactly 2 will be defective
Isomorphisms, Residue Classes and Multiplication Tables, Show that U(10) is isomorphic to Z_4 and write out the isomorphism explicitly.
Determine the probability on sales
A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs. Rank the decision alternatives onthe basis of expected value.
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.
Make the shape of the square.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Describe how to calculate the odds against an event happening when you know the probability of the event occuring. Use a numerical example to illustrate your explanation.
Find the solution to the following system of linear equations: Solve the following absolute value inequality: ½ |x - 2|
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