If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then find the value of
\[ \sqrt[4]{x^{3} + y^{3} + z^{3} + xyz} \]
If 5sinθ − 4cosθ = 0, 0° < θ < 90°, then find the value of
\[ \frac{5\sin\theta - \cos\theta}{5\sin\theta + 3\cos\theta} \]
Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
Many a man has succumbed to his temptations.