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A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at 8 dollars the average attendance has been 21000. When the price dropped to 7 dollars, the average attendance rose to 27000. What should the price of tickets be to maximize total revenue?
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from re..
How many backpacks contained exactly two of the three writing instruments?
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
billy likes to go cycling. His bike has wheels of diameter 75cm. He has invented a counter for his bike , which counts the number of revolutions the wheel make. one day the counter shows 250 revolutions. How far has billy cycled? Give your answer ..
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
The volume of a cylinder(think about the volume of a can)is given by v=pir^2h where r is the radius of the cylinder and h is the height of the cylinder.
A basket contains five red balls, four white balls, and three blue balls. Two balls are drawn, one after the other, with the first ball replaced before the second is drawn.
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
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