Download Engineering Mathematics I Imp Questions Pdf file – M1 Imp Que
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Engineering Mathematics I (M 1) Question Bank
Engineering Mathematics I UNIT-I
THEORY OF MATRICES
- If 2, 3, 4 are the eigenvalues of A then find the eigenvalues of adj A
- If A is a Hermitian matrix Prove that it is skew- Hermitian matrix.
- Define the modal matrix.
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Engineering Mathematics I UNIT-II
DIFFERENTIAL CALCULUS METHODS
- 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].
- Define Rolle’s Mean value theorem.
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Engineering Mathematics I UNIT-III
IMPROPER INTEGRALS, MULTIPLE INTEGRALS, AND ITS APPLICATIONS
- Write the value of (1).
- Write the spherical polar coordinates.
- Prove that (m,n) (n,m) .
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Engineering Mathematics I UNIT-1V
DIFFERENTIAL EQUATIONS AND APPLICATIONS
- Write the working rule to find an orthogonal trajectory in the Cartesian form.
- Form the D.E.by eliminate c in
y=1+c√1-x2 - Solve (x+1)by/dx –y=e3x (x+1)2
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Engineering Mathematics I UNIT-V
LAPLACE TRANSFORMS AND ITS APPLICATIONS
- Define the change of scale property of F(T).
- Define inverse L.T. off(s)
- State and prove the first shifting theorem.
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