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Question: The United Postal Service requires that for any rectangular package, the sum of its length and girth (cross sectional distance) not exceed 108 inches. Determine the dimensions of the package of largest volume that may be sent, satisfying this requirement.
Suppose growth of a population P (t), with t representing time in days, is modelled by the logistic equation dP/dt=1/20p(10-P) with P(0)=P0=1.
A. If the wall is considered frictionless, find the magnitude and location of the Rankine active force Pa per unit length of the wall after the occurrence of the tensile cracks. B. If the wall is frictional and the angle of wall friction 5 = 15°, cal..
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
A mathematical model of Bieber Fever: The most infectious disease of our time? Recently, an outbreak of Bieber Fever has blossomed into a full pandemic, primarily among our youth
What is the probability that a green marble was chosen?
Assume the distribution of food expenditures for the family of four follows the normal distribution, with a mean of $490 and standard deviation of $90.
How many mare gallons of water will it take to fill the tank?
Show that Pacioli's answer is incorrect. What was he thinking of in presenting his rule?
Find the least-squares solution of this system of n equations in the one unknown λ, and write this solution using the original symbols. The resulting estimate for λ is called a Rayleigh quotient.
A complex number is defined a+ bj, as where and are real numbers j = v(-1) and For what values of and is the complex number a real number?
You decide to enroll in a plan that gives you a 10% discount if you make telephone calls 7pm - 6am. The per minute charge is $0.10 and the sales tax is 6%. On the first month's bill you used the phone for 130 minutes 6am - 7pm and then 400 minutes..
Abdol Akhim has just come from a Personal Finance class where he learned that he can determine how much his savings will be worth in the future.
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