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Consider the Boundary Value Problem
Which of the Following

Question 18

Multiple Choice

Consider the boundary value problem  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant.
Which of the following statements are true? Select all that apply.


A) λ\lambda = 0 is an eigenvalue.
B) There is one negative eigenvalue  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. = -  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. such that tanh  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. =  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. ; the corresponding eigenvectors are  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. (x) = C sinh(  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. x) , where C is an arbitrary nonzero real constant.
C) There are infinitely many positive eigenvalues  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. = -  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. , n = 1, 2, 3, ... such that  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. ; the corresponding eigenvectors are  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. (x) =  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. sin(  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. x) , where  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. is an arbitrary nonzero real constant.
D) There are infinitely many negative eigenvalues  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. = -  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. , n = 1, 2, 3, ... such that  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. ; the corresponding eigenvectors are  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. (x) =  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. sin(  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. x) , where  Consider the boundary value problem    Which of the following statements are true? Select all that apply. A)   \lambda  = 0 is an eigenvalue. B)  There is one negative eigenvalue   = -   such that tanh   =   ; the corresponding eigenvectors are   (x)  = C sinh(   x) , where C is an arbitrary nonzero real constant. C)  There are infinitely many positive eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. D)  There are infinitely many negative eigenvalues   = -   , n = 1, 2, 3, ... such that   ; the corresponding eigenvectors are   (x)  =   sin(   x) , where   is an arbitrary nonzero real constant. is an arbitrary nonzero real constant.

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