Solve the Problem $G = P ( x , y ) i + Q ( x , y ) j$

question 249

Multiple Choice

Solve the problem.
-Find a field $G = P ( x , y ) i + Q ( x , y ) j$ in the $x y$ -plane with the property that at any point $( a , b ) z ( 0,0 ) , G$ is a vector of magnitude $\sqrt { \mathrm { a } ^ { 2 } + \mathrm { b } ^ { 2 } }$ tangent to the circle $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } = \mathrm { a } ^ { 2 } + \mathrm { b } ^ { 2 }$ and pointing in the clockwise direction.

• A) \(x \mathbf { i } + y \mathbf { j }\)
• B) \(y i - x j\)
• C) \(x \mathbf { i } - y \mathbf { j }\)
• D) \(- y \mathbf { i } + x \mathbf { j }\)

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Definitions:

Operating Activities

Business activities that relate directly to the production, sale, and delivery of a company's products and services.

Depreciation

The process of allocating the cost of buildings and equipment (but not land) over their productive lives using a systematic and rational method

Accounts Receivable

Represents money owed to a company by its customers for goods or services that have been delivered but not yet paid for.

Indirect Method

A way of preparing the cash flow statement where net income is adjusted for changes in balance sheet accounts to calculate cash flow from operating activities.