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Two long, parallel wires are attracted to each other by a force per unit length of 440 πœ‡π‘/π‘š


when they are separated by a vertical distance of 0.80 m. The current in the upper wire is


13.0 A to the right. Determine the location of the line in the plane of the two wires along


which the total magnetic field is zero.



A region is bounded by y = square root of x, the x-axis, and x = 4. Write the integral that represents the volume of this region revolved about the line y = 3


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.


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