Question: Evaluate the integral F*ds for the vector fields F and curves below.(a)F(x,y,z)=[sin(x),cos(y),x*z],(t)=[t3,-t2,t],0t1Rewriting the integral F*dsin terms oft,i.e.t1t2g(t)dt,we have:g(t)=Evaluate the line integral, entering your answer toat
Evaluate the integral F*ds for the vector fields F and curves below.(a)F(x,y,z)=[sin(x),cos(y),x*z],(t)=[t3,-t2,t],0t1Rewriting the integral F*dsin terms oft,i.e.t1t2g(t)dt,we have:g(t)=Evaluate the line integral, entering your answer toat least 1DP.F*ds=(b)F(x,y,z)=[-2*y,2*x+1,z-y] over one turn of the helix (t)=[cos(t),sin(t),5*t],0t2.Rewriting the integral F*dsin terms oft,i.e.t1t2h(t)dt,we have:h(t)=Evaluate the line integral, ensuring your answer is accurate to1DP.To enter your answer exactly using , use pior%pi.CF*ds=
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