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  • Question 1
    4 / -1

    The particular integral of (4D2 + 4D + 1) y = 8e-x/2 is

  • Question 2
    4 / -1

    The vector [1, 2, 3], [1, 0, 0], [0, 1, 0], [0, 0, 1] are

  • Question 3
    4 / -1

    Find 

  • Question 4
    4 / -1

    The projection of vector   on vector 

  • Question 5
    4 / -1

    Find an of a Fourier series for |x|, -π < x < π

  • Question 6
    4 / -1

    Consider a vector v = (v1, v2, v3) in three dimensional complex vector space c3. A linear operator T is designed as follows
    T( v1, v2, v3) = ( v1, v2 - v3,iv2)
    Find T+ matrix representation using orthonormal basis

  • Question 7
    4 / -1

    Given the Legendre polynomial P0(x) = 1, P1 (x) = x and  then polynomial (3x2 + x -1)

  • Question 8
    4 / -1

    The matrix A defined by  is orthogonal if

  • Question 9
    4 / -1

    Find the inverse Laplace transform of f(s) = 

  • Question 10
    4 / -1

    Find the complex coefficient Cn of the fourier series of the function  for n is odd.

  • Question 11
    4 / -1

    The equation of the plane that is tangent to the surface xyz = 8 at point (1,2,4) is

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