Let F=Vf, where f(x.y.z)=x3y²z+z³, and let S be the surface boundary of the solid E={(x.y,z)ER³ : x?+y²+z?s1,x20, y20, z 20}. Let I= •n do. Let h(x.y)= -2x³+9x²-12x - y². Choose the TWO correct statements. (1,0) and (-1,0) are local extrema of h(x,y) h(x,y) has no local minima. (1,0) and (0,0) are local extrema of h(x,y) of h(x,y) has a saddle point at (0,0) h(x,y) has a local minimum at (2,0). 12

Let F=Vf, where f(x.y.z)=x3y²z+z³, and let S be the surface boundary of the solid E={(x.y,z)ER³ : x?+y²+z?s1,x20, y20, z 20}. Let I= •n do. Let h(x.y)= -2x³+9x²-12x - y². Choose the TWO correct statements. (1,0) and (-1,0) are local extrema of h(x,y) h(x,y) has no local minima. (1,0) and (0,0) are local extrema of h(x,y) of h(x,y) has a saddle point at (0,0) h(x,y) has a local minimum at (2,0). 12

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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Question

Let F= Vf, where f(x,y,z)=x3y²z+z³, and let S be the surface boundary of the solid E={(x,y,z)ER³: x2+y²+z²s1,x20, y 20, z 20}. Let I=
Let h(x,y)= -2x³+9x²–12x -y².
Choose the TWO correct statements.
(1,0) and (-1,0) are local extrema of h(x,y)
h(x,y) has no local minima.
(1,0) and (0,0) are local extrema of h(x,y)
I =
6
4
I=
4
h(x,y) has a saddle point at (0,0)
h(x,y) has a local minimum at (2,0).
5 л
I=
12

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