Find an Equation of the Tangent Line to the Graph $( 3 , - 30 )$

question 53

Multiple Choice

Find an equation of the tangent line to the graph of the following function at the point $( 3 , - 30 )$ .
$- 3 x ^ { 2 } - 3$

• A) \(y = - 18 x - 84\)
• B) \(y = - 18 x + 84\)
• C) \(y = - 18 x + 24\)
• D) \(y = 180 x + 570\)
• E) \(y = 180 x - 570\)

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Definitions:

Carrying Amount

The value at which an asset is recognized on the balance sheet after deducting accumulated depreciation and impairment losses.

Market Rate of Interest

The prevailing rate of interest for securities or loans in the market, determined by supply and demand and influenced by the general economic conditions.

Straight-Line Method

A depreciation technique where the value of an asset is evenly reduced over its operational life, ensuring a consistent depreciation charge each year.

Bond Premium

The additional value that an investor pays above a bond's face value; occurs when the bond's interest rate is higher than the market rate.