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Discuss 2 determinants each of the price elasticity of demand and the price elasticity of supply.


Show that the length of the portion of any tangent line to the asteroid aπ‘₯^2/3 + 𝑦^2/3 = π‘Ž^2/3 ,cut off by the coordinate axes is constant.



A cone of radius π‘Ÿ centimeters and height β„Ž centimeters is lowered point first at



a rate of 1 cm/s into a tall cylinder of radius 𝑅 centimeters that is partially filled with



water. How fast is the water level rising at the instant the cone is completely



submerged?

Suppose 𝑓 is odd and differentiable everywhere. Prove that for every positive



number 𝑏, there exists a number 𝑐 in (βˆ’π‘, 𝑏) such that 𝑓 β€²(𝑐) = 𝑓(𝑏)/𝑏.

At which point on the following curve does the tangent line has the largest slope?


𝑦 = 1 + 40π‘₯^3 βˆ’ 3π‘₯^5


If you get a slice of a round pizza with perimeter 90 cm , what should be the diameter of the pizza for you to have gotten the largest slice?

In the countries of Xerxes and Arias both nominal and real gross domestic product are the same. Because each dollar an Xerxes is used more often then Arias, ____ in Xerxes


Using practical examples, describe green computing. List and explain the steps that you canΒ 

take to contribute to green computing.


  1. Your accounting office has asked you to use a free email service, saying they will switch you to a paid one with more features when your business grows.Β What are the arguments for going with a more robust paid service now?

All aqueous mixtures must contain


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