Question

Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉 Is this vector field Conservative? yes or no If so: Find...

Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉

Is this vector field Conservative? yes or no

If so:

Find a function ff so that →F=∇fF→=∇f

f(x,y) =_____ + K

Use your answer to evaluate ∫C→F⋅d→r∫CF→⋅dr→ along the curve C: →r(t)=t2→i+t3→j,  0≤t≤3r→(t)=t2i→+t3j→,  0≤t≤3

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