Find the Arc Length of the Curve X = Y²

question 90

Essay

Find the arc length of the curve x = y² - 6 over the interval y = 3 to y = 5. Approximate area to three decimal places. Use a CAS if necessary.

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Definitions:

Useful Life

The estimated duration of time that an asset is expected to remain functional and productive for its intended purpose, affecting depreciation calculations.

Straight-Line Basis

A method of calculating depreciation or amortization by evenly allocating the cost of an asset over its useful life.

Salvage Value

The estimated value remaining in an asset after it has served its purpose.

Depreciation Expense

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