Please help me answer questions 2 and 3 for this homework. Thanks 1. True/False: The vector fi eldF = yzi + xzj+ xykis the gradient field of some differentiable function f(x, y, z). (Justify your answer.)2. True/False: The vector fieldG = xi + x*jis not the gradient field of any function g(x, y) w hose second order derivatives arecont inuous over R². (Justify your answer.)3. Find the work of the vector field F(x, y, z) = yi along the curve which is obtained asthe intersection of the surfaces z = x2+y? -6 and 6x+12y = z+6. Hint: you mayfind it useful to complete the squares and use the identity sin? t =}(1 – cos(2t)).

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Answered: 2. True/False: The vector field G =…

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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2. True/False: The vector field G = xi+x*j is not the gradient field of any function g(x, y) w hose second order derivatives are cont inuous over R². (Justify your answer.)