The Length L, Width W and Height H of a Box

question 63

Short Answer

The length l, width w and height h of a box change with time. At a certain instant the dimensions are and , and l and w are increasing at a rate of 10 m/s while h is decreasing at a rate of 1 m/s. At that instant find the rates at which the surface area is changing.

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Definitions:

Interest Income

Income earned on various forms of investments like savings accounts, bonds, or loans, essentially any receivable that accumulates interest.

Debt Financing

Raising funds through borrowing, typically by issuing bonds or taking out loans, which entails repayment of principal and interest.

Equity Financing

The method of raising capital by selling company shares to investors. In return, shareholders receive ownership interests in the company.

Balance Sheet

A report detailing a business's assets, liabilities, and owners' equity at a given moment.