## 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

Link – M1 Question Bank

**UNIT-I**

THEORY OF MATRICES

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

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**UNIT-II**

DIFFERENTIAL CALCULUS METHODS

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

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**UNIT-III**

IMPROPER INTEGRALS, MULTIPLE INTEGRALS AND ITS APPLICATIONS

- Prove that (m,n) (n,m) .
- Write the value of (1) .
- Write the spherical polar coordinates

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**UNIT-1V**

DIFFERENTIAL EQUATIONS AND APPLICATIONS

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

y=1+c√1-x2

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**UNIT-V**

LAPLACE TRANSFORMS AND ITS APPLICATIONS

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

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