Question
Evaluate : $\int \sqrt{a^2+x^2} \cdot d x=\frac{x}{2} \cdot \sqrt{x^2+a^2}+\frac{a^2}{2} \cdot \log \left(x+\sqrt{x^2+a^2}\right)+c$
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Solve the following LPP by using graphical method.
Maximize : $Z =6 x+4 y$
Subject to $x \leq 2, x+y \leq 3,-2 x+y \leq 1, x \geq 0, y \geq 0$.
Also find maximum value of $Z$.