Gothic architecture (12th–16th century, primarily European) is characterised by:

• Pointed arch ✓ — the defining feature
• Flying buttress
• Ribbed vault
• Large stained glass windows

Other options:

• Barrel vault = Romanesque architecture
• Pendentive = Byzantine architecture (used to transition from square base to circular dome)
• Hypostyle hall = Ancient Egyptian architecture (hall with many columns)

Pointed arch is the most iconic and structurally significant Gothic element.

Rewrite: $\frac{d}{dx}(y\sin x) = 4x$

Integrate: $y\sin x = 2x^2 + C$

At $x = \frac{\pi}{2}, y=0$: $0 = 2\cdot\frac{\pi^2}{4} + C \Rightarrow C = -\frac{\pi^2}{2}$

So $y = \frac{2x^2 - \frac{\pi^2}{2}}{\sin x}$

At $x = \frac{\pi}{6}$: $\sin\frac{\pi}{6} = \frac{1}{2}$, so $y = \frac{2\cdot\frac{\pi^2}{36} - \frac{\pi^2}{2}}{\frac{1}{2}} = 2\left(\frac{\pi^2}{18} - \frac{\pi^2}{2}\right) = 2\cdot\frac{\pi^2 - 9\pi^2}{18} = \frac{-8\pi^2}{9} \cdot \frac{1}{2\sin(\pi/6)}$

Final answer: $y\!\left(\frac{\pi}{6}\right) = \mathbf{-\dfrac{8\pi^2}{9\sqrt{3}}}$

HRM specifically manages human resources but must consider their interaction with other resources. People use physical, financial, technical, and informational resources to accomplish goals - effective HRM recognizes these interdependencies.

From the table, each value of y is exactly twice x, so the relationship is $y = 2x$.