Solve the Problem $\mathrm { G } = \mathrm { P } ( \mathrm { x } , \mathrm { y } ) \mathbf { i } + \mathrm { Q } ( \mathrm { x } , \mathrm { y } ) \mathbf { j }$

question 166

Multiple Choice

Solve the problem.
-Find a field $\mathrm { G } = \mathrm { P } ( \mathrm { x } , \mathrm { y } ) \mathbf { i } + \mathrm { Q } ( \mathrm { x } , \mathrm { y } ) \mathbf { j }$ in the $x y - p l a n e$ with the property that at any point $( a , b ) \neq ( 0,0 ) , \mathrm { G }$ is a unit vector pointing away from the origin.

• A) \(- \frac { x i + y j } { \sqrt { x ^ { 2 } + y ^ { 2 } } }\)
• B) \(x i + y j\)
• C) \(\frac { x i + y j } { \sqrt { x ^ { 2 } + y ^ { 2 } } }\)
• D) \(\frac { x i - y j } { \sqrt { x ^ { 2 } - y ^ { 2 } } }\)

Grasp the formation and dating of sedimentary rocks and their significance in the fossil record.

Calculate the remaining amount of a radioactive isotope given its half-life and initial quantity.

Understand the principle of superposition in sedimentary rock layers and its importance in relative dating.

Comprehend the process of carbon-14 dating and its limitations.

---

Definitions:

Financial Incentives

Monetary benefits used to motivate specific behaviors or actions among employees, customers, or other stakeholders, typically aiming at increasing sales, productivity, or engagement.

Customer Relationships

The interactions and engagements a company has with its customers, with the aim of improving loyalty and satisfaction.

Business Markets

Commercial sectors that involve transactions between businesses rather than between a business and a consumer.

Consumer Markets

markets consisting of individuals or households that purchase goods and services for personal consumption.