Consider F and C below.
F(x, y) = x^2 i + y^2 j
C is the arc of the parabola y = 2x^2 from (-2, 8) to (-1, 2).
a) Find a function f such that F = f.
b) Use part (a) to evaluate ?C f · dr along the given curve C.
for part a I did the differeniation of both sided and got f(x,y) = x^3 +y +K
and part B I just solved and got -1 both are wrong, going in circles with the book please help.
F(x, y) = x^2 i + y^2 j
C is the arc of the parabola y = 2x^2 from (-2, 8) to (-1, 2).
a) Find a function f such that F = f.
b) Use part (a) to evaluate ?C f · dr along the given curve C.
for part a I did the differeniation of both sided and got f(x,y) = x^3 +y +K
and part B I just solved and got -1 both are wrong, going in circles with the book please help.