# Gradient Vector Fields and Line Integrals

Not what you're looking for?

Consider the vector field F = (x^2 + y^2, 8xy). Compute the line integrals and , where c1(t) = (t, t^2) and c2(t) =(t, t) for 0<=t<=1. Can you decide from your answers whether or not F is a gradient vector field? Why or why not?

##### Purchase this Solution

##### Solution Summary

It shows how to compute the line integrals of the vector field. It further proves that the this force is not a gradient vector field. The solutin is detailed and received a '5/5' rating from the student who originally posted the question.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Consider the vector field . Compute the line integrals and , where and for . Can you ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.