Suppose That Over a Certain Region of Space the Electrical $V$

question 16

Multiple Choice

Suppose that over a certain region of space the electrical potential $V$ is given by $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$ .
Find the rate of change of the potential at $( - 1,1 , - 1 )$ in the direction of the vector $\mathbf { v } = 7 \mathbf { i } + 10 \mathbf { j } - 8 \mathbf { k }$ .

• A) -15.099
• B) 14.569856
• C) 44
• D) 20
• E) - 0.96

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Definitions:

Bond Discount

The discrepancy between a bond's nominal value and its market price, occurring when the bond is marketed below its nominal value.

Interest Expense

The cost incurred by an entity for borrowed funds over a period, reflecting the price paid for the use of a lender's money.

Straight-Line Method

This is a depreciation technique that allocates an equal portion of an asset's initial cost minus its salvage value to each year of the asset's useful life.

Semiannual

Semiannual refers to something that happens twice a year or every six months.