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Question: PACKAGING An open rectangular box having a surface area of 300 in.2 is to be constructed from a tin sheet. Find the dimensions of the box if the volume of the box is to be as large as possible. What is the maximum volume?
Hint: Let the dimensions of the box be x × y × z (see the figure that follows). Then the surface area is xy + 2xz + 2yz, and its volume is xyz.
Show that the graph property P is monotone increasing if and only if the graph property Q is monotone decreasing where Q is the property of not having property.
List the simple events associated with each experiment. BLOOD TYPES Blood tests are given as a part of the admission procedure at the Monterey Garden Community.
Problem solving on linear programming
In a recent survey of college graduates, it was found that 200 had undergraduate degrees in arts, 95 had undergraduate degrees in science, and 120 had graduate.
DESIGNING A GRAIN SILO A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure).
A ball is tossed into the air from a bridge, and its height, y (in feet), above the ground t seconds after it is thrown is given.
Maximize z = 3x - 5y Subject to: 4x + y ≤ 12
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
The supervisor of an orange juice bottling company is considering the purchase of a new machine to bottle 16 fluid ounces (473 mL) bottles of 100% pure orange.
A car is traveling at 92 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
Show that the second column of A is in W.
Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.
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