SOLUTION: Last night it started raining as Hibah was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor.

Question 1197755: Last night it started raining as Hibah was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am. When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as f(x)=8x^3+4x^2-6x+5. By 10 am, the amount of water in the bucket is g(x)=2x^3+x^2-4x+7.
What is the area of the puddle on the floor when the employees arrive at work at 7 am, and, given the equations for the volume of the bucket and the amount of water in the bucket, find how much more water can be added to the bucket before it overflows. Use function notation and show work.
*I greatly appreciate your help!*
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

The person, who created this essay, was so exited by his composition that forgot to determine the meaning of the variable x.

Without this info, the essay consists of several logically disconnected parts, that do not integrate in whole meaningful composition.

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