If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$

question 153

Multiple Choice

If $f ( x , y ) = x ^ { 2 } + 6 y ^ { 2 }$ , use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 124$ at the point $( 10,2 )$ .

• A) \(100 x + 36 y = 124\)
• B) \(100 x - 124 y = 12\)
• C) \(10 x + 12 y = 124\)
• D) \(10 x + 12 y = 12\)
• E) \(100 x - 12 y = 12\)

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Tax Shield

The reduction in income taxes that results from taking allowable deductions from taxable income.

Depreciable Asset

A depreciable asset is a type of property that an organization can write off as an expense over time due to its potential to lose value, such as buildings, machinery, and equipment.

Total Cost Approach

A method of analysis that involves assessing all costs associated with a decision, including initial costs and ongoing operational costs.

Discount Rate

The interest rate used in discounting future cash flows to present value, often reflecting the cost of capital or risk level.