# Engineering Mathematics I Important Questions – M1 Imp Qusts

## Engineering Mathematics I Important Questions Pdf file – M1 Imp Qusts

Please find the attached pdf file of Engineering Mathematics I Important Questions Bank – M1 Imp Qusts

UNIT-I
THEORY OF MATRICES

1. Define modal matrix.
2. If 2, 3, 4 are the eigen values of A then find the eigen values of adj A
3. If A is Hermitian matrix Prove that it is skew- Hermitian matrix

UNIT-II
DIFFERENTIAL CALCULUS METHODS

1. Define Rolle’s Mean value theorem.
2. Verify Lagrange’s Mean Value theorem for f(x) = log x in [1, e]
3. Verify Lagrange’s Mean Value theorem for function f(x) = cos x in [0, π/2].

UNIT-III
IMPROPER INTEGRALS, MULTIPLE INTEGRALS AND ITS APPLICATIONS

1. Prove that  (m,n)  (n,m) .
2. Write the value of  (1) .
3. Write the spherical polar coordinates

UNIT-1V
DIFFERENTIAL EQUATIONS AND APPLICATIONS

1. Solve (x+1)dy/dx –y=e3x (x+1)2
2. Write the working rule to find orthogonal trajectory in Cartesian form.
3. Form the D.E.by eliminate c in
y=1+c√1-x2

UNIT-V
LAPLACE TRANSFORMS AND ITS APPLICATIONS

1. State and prove first shifting theorem.
2. Define change of scale property of F(T).
3. Define inverse L.T. of f(s)

1. 2. 