below math question Consider F and C below.F(x, y) = x2 i + y? jC is the arc of the parabola y = 4x² from (-1, 4) to (2, 16)(a) Find a function f such that F =Vf.f(x, у)(b) Use part (a) to evaluateVf• dr along the given curve C.

Here we use fundamental theorem of calculas.a) f(x,y)=x33+y33. b) ∫c▽f.dr=1347.

F(x, y) = x² i + y² j C is the arc of the parabola y = 4x2 from (-1, 4) to (2, 16) %3D (a) Find a function f such that F = Vf. %3D f(x, у) - (b) Use part (a) to evaluate Vf • • dr along the given curve C.

F(x, y) = x² i + y² j C is the arc of the parabola y = 4x2 from (-1, 4) to (2, 16) %3D (a) Find a function f such that F = Vf. %3D f(x, у) - (b) Use part (a) to evaluate Vf • • dr along the given curve C.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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below math question

Consider F and C below.
F(x, y) = x2 i + y? j
C is the arc of the parabola y = 4x² from (-1, 4) to (2, 16)
(a) Find a function f such that F =
Vf.
f(x, у)
(b) Use part (a) to evaluate
Vf• dr along the given curve C.

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