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:

Operating Cash Flow

Cash generated from a company's normal business operations, indicating its ability to generate sufficient positive cash flow to maintain and grow operations.

Net Working Capital

The difference between a company's current assets and its current liabilities, indicating its short-term financial health and efficiency.

Cash Expenses

Payments that a business makes in cash, including operating expenses, purchasing of goods, and other transactions.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life, reflecting wear and tear, deterioration, or obsolescence.