Effect of Removing Silver Coating:
If the silver coating around the center of a concave mirror is removed, the mirror will no longer reflect light at the center. The silver coating is what enables the mirror to reflect light, and without it, the concave mirror will lose its reflective properties. Thus, the mirror will no longer form an image, as the reflective surface is essential for focusing light and forming an image.
Therefore, removing the silver coating would mean that the mirror will not form any image. The reflection would not occur at the center, and no image will be formed at all.
Let \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) be three vectors such that \(\mathbf{a} \times \mathbf{b} = \mathbf{a} \times \mathbf{c}\) and \(\mathbf{a} \times \mathbf{b} \neq 0. Show \;that \;\mathbf{b} = \mathbf{c}\).
If $y = 5 \cos x - 3 \sin x$, prove that $\frac{d^2y}{dx^2} + y = 0$.