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Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
a showroom for a department store is to be rectangular with walls on three sides, 6-ft door openings on the two facing sides and a 10-ft door opening on the remaining wall. the showroom is to have 800ft^2 of floor space. what dimensions will minim..
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or serviced? More than four?
Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C 2.85n 30.52, where n is the number of years since 1990
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
q.1 . evaluate the following indefinite integralsq.2. using the method of integration by parts evaluate the following
how many terms of the series , 24+20+16+-----should be added so that the sum may be 72.
The sales representative informs you that there are 78 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
solve equation radio the instructor has learned that for the 30 students in her afternoon class, the radio of student who do not own a computer to those who do is 2 to 1. how many students in the class own their own computer?
Waiting line model, As it is, models have been developed to assist managers understand and make better decisions concerning the operation of waiting lines
The price of a technology stock has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
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