QUESTION OF THE DAY! Please answer and explain without the fundamental theorem. Thank you.
Posted: Thu Jul 14, 2022 4:41 pm
QUESTION OF THE DAY! Please answer and explain without thefundamental theorem. Thank you.
(8 points) Find the function f if ∇f=⟨3x2y+y2,x3+2xy⟩, and evaluate the integral ∫C∇f⋅dr with and without the Fundamental Theorem of Line Integral, where C is the curve r(t)=<2t,5t>,0≤t≤1.
(8 points) Find the function f if ∇f=⟨3x2y+y2,x3+2xy⟩, and evaluate the integral ∫C∇f⋅dr with and without the Fundamental Theorem of Line Integral, where C is the curve r(t)=<2t,5t>,0≤t≤1.