Question

Consider the conservative force field F=(28x3y+6−y)i+x(7x3−1)jF=(28x3y+6−y)i+x(7x3−1)j.

Find a function f(x,y) such that F=∇⃗fF=∇→f.

f=

Use this result to find the work done if this force field moves an object from the point (-3,3) along the piecewise linear path to (1,3), and from there to (4,6).
Work =

1 point Math 215 Homework homework10, Problem 4 Consider the conservative force field F (28x3y + 6-y) i + x(7x3-1) j Find a function fix.y) such that F-Vf. f- Use this result to find the work done if this force field moves an object from the point (-3,3) along the piecewise linear path to (1,3), and from there to (4,6) Work

Show transcribed image text 1 point Math 215 Homework homework10, Problem 4 Consider the conservative force field F (28x3y + 6-y) i + x(7x3-1) j Find a function fix.y) such that F-Vf. f- Use this result to find the work done if this force field moves an object from the point (-3,3) along the piecewise linear path to (1,3), and from there to (4,6) Work