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Electric charge is distributed over the disk x^2+y^2<=20so that the charge density at (x,y)=14+x^2+y^2 is coulombs per square meter.
Find the total charge on the disk.
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
puss had been called in to Monrovia to get rid of the rats. puss had been told that he could bring as many of his friend as he wished to help him. after a year every cat had killed an equal number of rats;the total was 1,111,111 rats. how many cat..
A roast is taken from the refrigerator, where the temperature is 40? F, and put in a 350? F oven. One hour later the meat thermometer shows a temperature of 90?F. If the roast is done when its temperature reaches 140?F, what is the total time the ..
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
From a raft 50m offshore, a lifeguard wants to swim to shore and run to a snack bar 100m down the beach. If the lifeguard swims at 1m/s and runs at 3m/s, express the total swimming and running time t as a function of the distance
If the teachers receive an average salary increase of $1096, write out the first 6 terms of the sequence formed by the average salaries starting with the 1999-2000 school year. Explain how you got your answer.
Find a piecewise-defined function P that specifies the price of the item after t years have passed. Let P(t) = the price of the item in dollars after t years have passed.
If the advance promoter wants to have a 99% chance of completing all preparations by June 30, when should work begin on finding a concert site?
A textbook store sold a combined total of 432 math and physics textbooks in a week. The number of math textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
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