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Q is epi in the category of rings. (ii) Show that kernels are monic and are unique up to isomorphism. (iii) In Groups, show that monics are injections and kernels are monics with normal image. What are epis and cokernels? 2. (Colimits and van Kampen) (i) What is the coproduct of groups usually called? (ii) Let H be a subgroup of groups G and G . What is the pushout G H G usually called? (iii) When is the coproduct of groups G and H finite?
Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Show your work.
Test at the five percent level of significance
A 8788 ft3 tank with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1500 kg/m^3
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
Find the velocity, speed and acceleration of the vector-valued function: Vector r = cost i + sint j - 16t^2 k at t=pi/4
A self-employed worker earned $47,000 during the year. The FICA tax for Social Security is 6.2% and the FICA tax for Medicare is 1.45%.
A student makes a $9.75 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters and fifty-cent pieces.
measure of each exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have.
Compare and contrast solving equations and solving inequalities. What is similar about each process? What are the differences?
A poll is planned to determine what proportion of all students favor an increase in fees to support a new track and field stadium. A questionnaire will be published and the first 1000 completed questionnaires will be analyzed. Which of the followi..
A tank initially contains 46 gal of brine, in which 15 lb of salt is dissolved. Brine containing 2 lb of dissolved salt per gallon flows into the tank at the rate of 5 gal/min, and the well-stirred mixture flows out of the tank at the same rate. H..
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