Question: Consider the vector field vec(F)=(:5x+2y,2x+4y:) Is this vector field Conservative? If so: Find a function f so that vec(F)=gradf f(x,y)=,+K Use your answer to evaluate

Consider the vector field vec(F)=(:5x+2y,2x+4y:) Is this vector field Conservative? If so: Find a function f so that vec(F)=gradf f(x,y)=,+K Use your answer to evaluate \int_C vec(F)*dvec(r) along the curve C:vec(r)(t)=t^(2)vec(i)+t^(3)vec(j),0<=t<=2

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