Mathematics with Adnan Ullah Khan

Evaluate the integral ∫_0^(π/2)▒〖sin x〗 dx with 7 intervals by using Trapezoidal rule.

Solve the deferential equation. dy/dx= (x + 2y – 3)/(2x + y -3)

A resistor of 5 ohms and a capacitor of 0.02 farads are connected with 10 volt battery. Assume that initially charge on capacitor is 5 coulombs. Find the charge and current in the circuit at any time.

Find Semi axes, eccentricity, foci, vertices, co vertices and equation of directrices for the curve: 9x2 – 4y2 + 36x + 8y – 4 = 0

6. Find the equation of a line passing through the point (3, 2) and making angle of 45o with the line x -2 y =3.

5. Find the maximum and minimum values of f (x) = ex sin x

Evaluate any two of the following integrals: