The Flow Lines (Or Streamlines) of a Vector Field Are $\mathbf { F } ( x , y ) = 8 x \mathbf { i } - 32 y \mathbf { j }$

question 50

Short Answer

The flow lines (or streamlines) of a vector field are the paths followed by a particle whose velocity field is the given vector field. Thus, the vectors in a vector field are tangent to the flow lines. The flow lines of the vector field $\mathbf { F } ( x , y ) = 8 x \mathbf { i } - 32 y \mathbf { j }$ satisfy the differential equations $\frac { d x } { d t } = 8 x$ and $\frac { d y } { d t } = - 32 y .$ Solve these differential equations to find the equations of the family of flow lines.

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General Journal Entry

A record in the general journal that includes all the financial transactions of a company, showing accounts affected, amounts, and whether those amounts are debits or credits.

Amortizing

The process of gradually paying off a debt over time through regular payments.

Straight-Line Method

A method of calculating depreciation by evenly distributing the cost of an asset over its useful life.

Semiannual Interest

An interest payment made twice per year on investment vehicles such as bonds, which represents a portion of the annual interest rate.