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Find the work required to move an object in the following force fields along a line segment between the given points. Check to see if the force is conservative.$$\mathbf{F}=\langle x, 2\rangle \text { from } A(0,0) \text { to } B(2,4)$$

$$10$$

Calculus 3

Chapter 15

Vector Calculus

Section 3

Conservative Vector Fields

Vectors

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field is if off Ex boy equal X to we have partial F one over Portion boy equals zero equal portion If toe over partial X So it is conservative. We can easily be to mind that its potential function is from the X Boy Equal X squared over two plus two boys. The curve begins at 00 and ins at toe poor does The integral is portion If the old equal Nando to four minus London 0 to 0 the equal 10 minus zero equal King.

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