Download DBATU B.Tech 2019 March 2nd Sem Engineering Mathematics II Question Paper

Attempt any TWO of the following:

1. (A) Prove that (x + i y) + (x - i y) = 2vx² + y² cos (tan^-1(^y/_x))
   (B) Solve (sinx + x.cosy+ x)
   

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   (C) Prove that cos [i log (^a-ib/_a+ib)] =

Q.3 Attempt the following

1. (A) If z1 and z2 are two complex numbers such that | z1 + z2 | = | z1 - z2 |. Prove the difference of their amplitudes is p/2.
   (B) A resistance of 100 ohms and inductance of 0.1 henries are connected in series with a battery of 20 volts. Find the current in the circuit at any time t, if the relation between EL,R and E is L di/dt + Ri = E

OR

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Q.3 Attempt the following

1. (A) Solve x¹⁰ + 11x⁵ + 10 = 0
   (B) Solve dy/dx - y tanx = y secx

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