KSOU for B Tech

Would you please give here sample question paper for Engineering Mathematics – I subject for B Tech students of Karnataka State Open University (KSOU) ?

[pawan]

As you requires I am here giving you sample question paper for Engineering Mathematics – I subject for B Tech students of Karnataka State Open University (KSOU) .

Engineering Mathematics – Question Paper:

1. Find the real part of Cosh(x + iy).

2. If z is a complex number then find the imaginary part of log z.

3. State Cayley-Hamilton theorem.

4. Define permutation groups.

8. State the condition for exactness of a differential equation Mdx + Ndy = 0.

9. Find the real and imaginary part of (1 – Cosα + iSinα ).

Part B
1. Prove that sin3θ = 3sinθ – 4sin3 θ .

2. If Cosα + Cosβ + Cos γ = 0 = Sinα + Sinβ + Sin γ then prove that
i) Cos3α + Cos3β + Cos3 γ = 3Cos(α + β + γ )
ii) Sin3α + Sin3β + Sin3 γ = 3Sin(α + β + γ ).

3. Solve by Crammer’s rule the following equations.
5x – 2y – 3z = 17, 3x – y + z = 15, x + y – 6z = –13.


Engineering Mathematics – Question Paper KSOU






Here is the attachment .

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Karnataka State Open University
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Mysuru, Karnataka 570006