Table Moving Problem: You push a table across the floor. At first, you push hard to get

Chapter 11, Problem 4

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Table Moving Problem: You push a table across the floor. At first, you push hard to get itmoving, then you ease off as it starts to move.The force drops to zero at a displacement of4 ft, where the table stops. Assume that theforce, F, in pounds is given byF = x3 + 6x2 12x + 16 where x is the number of feet the table has been displaced.a. Sketch the graph of F and show that it reallydoes have these properties.b. How much work is done pushing the tablethe 4 ft?

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