The Edge of a Cube of Side X Is Contracting

question 167

Essay

The edge of a cube of side x is contracting. At a certain instant, the rate of change of the surface area is equal to 6 times the rate of change of its edge. Find the length of the edge.

---

Definitions:

Prepaid Asset

Expenses paid in advance for goods or services to be received in the future, which are recorded as assets until they are used or consumed.

Taxable Income

The amount of income subject to taxes, calculated by adjusting gross income for deductions, exemptions, and allowances, according to tax laws.

Deferred Income Tax Asset

A balance sheet item that represents taxes paid or carried forward but not yet realized on the income statement.

Net Operating Loss

The deficit that occurs when a business's expenses exceed its revenues, excluding taxes and certain other expenses, over a fiscal period.