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Let F Be a Smooth Real Value Function Over a Domain

Question 55

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Let f be a smooth real value function over a domain D in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in  , then the graph xn+1 = f( Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in  , Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in  ,....., Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in  ) is


A) a smooth (n - 1) -manifold in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in
B) a smooth n-manifold in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in
C) a smooth (n + 1) -manifold in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in
D) a smooth (n + 1) -manifold in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in
E) a smooth n-manifold in Let f be a smooth real value function over a domain D in   , then the graph x<sub>n+1</sub> = f(   ,   ,.....,   )  is A)  a smooth (n - 1) -manifold in   B)  a smooth n-manifold in   C)  a smooth (n + 1) -manifold in   D)  a smooth (n + 1) -manifold in   E)  a smooth n-manifold in

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