Test the Vector Field F to Determine If It Is $$\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }$$

question 165

Multiple Choice

Test the vector field F to determine if it is conservative.
- $$\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }$$

• A) Not conservative
• B) Conservative

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Definitions:

25 Years

A term often referring to the duration of a loan or mortgage, indicating the time over which repayments are to be made.

Interest

Interest is the charge for borrowing money, typically expressed as an annual percentage rate of the principal.

Compounded Monthly

The method of accruing interest on the initial amount of a loan or deposit, thereby earning interest on the accrued interest, on a monthly basis.

12%

A numerical value representing twelve parts per hundred, often used to denote a percentage rate, such as an interest rate or growth rate.