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According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume is a constant. Suppose that, for a certain gas, PV = 800, where P is measured in pounds per square inch and V is measured in cubic inches.
(a) Find the average rate of change of P as V increases from 200 in to 250 in3.
(b) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
A plane is heading due south with an airspeed of 229 mph. A wind from a direction of 52 degrees is blowing at 13 mph. Find the direction the plane is actually headed. (Note that bearings are measured from north, clockwise.
according to the college boards report the average tuition and fees at four year private colleges and universities in
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Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 250 inches. Find the dimensions of the package with square ends whose volume is to be maximum.
cubic feet which is open on top and which is twice as long as it is wide. find the dimensions of the box produced from the minimum amount of material
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.
Show that there are no complete single binary connectives other than NAND and NOR. Hint: Let f be the truth function for a complete binary connective
Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.
The average amount of evapotranspiration at Beowawe (water vapor being transferred to the atmosphere by evaporation and plant activity) is 51.17 inches per year. How many acre-feet of water are evapotranspirated at Beowawe on the average every yea..
What types of information can you gather from graphing a formula? (Every day use, like budgets, Surveys, etc.)
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