# An object with a mass of #3 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= e^x-2x+3 #. How much work would it take to move the object over #x in [3, 4], where x is in meters?

The work is

(e^4-16+12)-(e^3-9+9))# = 3g

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The work done to move the object over x in [3, 4] is approximately 39.58 joules.

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