A Point Is Moving Along the Circle $x ^ { 2 } + ( y - 3 ) ^ { 2 } = 5$

question 5

Multiple Choice

A point is moving along the circle
$x ^ { 2 } + ( y - 3 ) ^ { 2 } = 5$
In such a way that its x-coordinate is decreasing at a rate of 2 units per second. At what rate is the y-coordinate decreasing at the instant when the point has reached $( - 2,4 )$

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Definitions:

Freight Costs

Expenses associated with transporting goods from one place to another, which may include shipping, handling, and insurance fees.

Seller

An individual or entity that offers goods or services for sale to consumers or other businesses.

Operating Expenses

Costs incurred in the day-to-day operations of a business, such as rent, utilities, and salaries, excluding the cost of goods sold.

Gross Profit

The difference between sales revenue and the cost of goods sold, indicating the margin earned before accounting for operating expenses.