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Question 1- Find the area between f(x) = x2 - 4 and the x-axis over the interval [2, 3].
Question 2- Find the total area between f(x) = x2 - 4 and the x-axis over the interval [0, 3].
Question 3- Find the area enclosed by the curves f(x) = x and g(x) = 6 - x2.
Question 4- Given the demand curve p = 400 - q2, find the consumer surplus when 15 units are sold.
Question 5- The demand function for a good is D(q) = 35 - q2 and the supply function is S(q) = 3 + q2. Find the producer surplus when the market is at equilibrium.
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. He has 420 feet of fencing available to complete the job. What is the largest possible total area of the four pe..
using the company records for the past 500 working days the manager of konig motors a suburban automobile dealership
The highest average cost of a 30-second commercial in October, 2002 was $455,700. How much was the commercial worth per second?
calculate the length of the perppendicular from a poit p on the curve defined by ax y2 byz2 to the xz plane where the
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
Assuming k ≤ n, we want to distribute k balls among n bins such that each bin may at most one ball?
a teacher wants to interview each of his students. he needs 15 mi9nutes for each interview. how long will it take him
A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
An Air Force study indicates that the probability of a disaster such as the January 28, 1986 explosion of the space shuttle Challenger was 1 in 35. The Challenger flight was the 25th mission. How many disasters would you expect in the first 25 flig..
Let E be a metric space, S a subset of E, and let f:E-R be the function which takes the value 1 at each point of S and 0 at each point of the complement of S. Prove that the set of points of E at which f is not continuous is precisely the boundary..
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