The vertex of the parabola occurs at x = -b/(2a) = 4/2 = 2. The minimum value is f(2) = 2^2 - 4*2 + 6 = 2.

Finding the derivative f'(x) = 4x^3 - 16x. Setting f'(x) = 0 gives x = 0, ±2. Evaluating f(0) = 16, f(2) = 0, and f(-2) = 0, the minimum value is 0.

Mode is the number that appears most frequently, which is 4.

The modulus of resilience is the energy per unit volume stored in a material up to the yield point.

The Mohorovičić discontinuity, or Moho, separates the Earth's crust from the underlying mantle.

The moment of inertia of a composite body can be calculated using the parallel axis theorem.

The moment of inertia of a hollow cylinder about its central axis is I = MR^2.

The moment of inertia is calculated by summing the mass of each particle times the square of its distance from the axis of rotation: I = Σ(m_i * r_i²).

The Montagu-Chelmsford Reforms aimed to increase Indian participation in governance through the introduction of dyarchy in the provinces.

In active voice, we focus on the director's action, resulting in 'The famous director directed the movie.'

The word 'boring' explains why everyone would leave the theater.

The word 'boring' explains why the viewer lost interest and fell asleep.

The word 'exciting' suggests that the movie was enjoyable enough to watch multiple times.

The Bahmani Sultanate was a significant neighboring kingdom that influenced the Mughal Empire's expansion into the Deccan region, leading to various military and political interactions.

The National Health Mission (NHM) was launched in 2010 to improve healthcare delivery across the country.

The National Rural Livelihood Mission focuses on promoting self-employment and organizing rural poor into self-help groups.

The National Rural Livelihood Mission (NRLM) was launched in 2011 to promote self-employment and organization of rural poor into self-help groups.

The New Economic Policy of 1991 focused on liberalization and globalization, moving away from the previous socialist policies.

To address existing issues and improve efficiency indicates that the policy aims to ameliorate the problems.

The Nobel Prize in Literature is awarded for outstanding contributions to literature.

The Nobel Peace Prize is awarded in Norway, while other Nobel Prizes are awarded in Sweden.

The Nobel Prize in Physics is specifically awarded for outstanding contributions in the field of physics.

The Nobel Prize is awarded in several categories including Literature, Peace, Physics, Chemistry, Medicine, and Economic Sciences.

The Non-Aligned Movement was founded during the Bandung Conference in 1955, where leaders from various countries sought to create a third path in the Cold War.

The Non-Cooperation Movement was launched in response to the Jallianwala Bagh Massacre of 1919, which galvanized Indian opinion against British rule.

The word 'genuine' conveys the idea of authentic relationships, contrasting with the other options.

Putting others' needs before her own indicates an altruistic nature.

The word 'rebellious' describes a spirit that challenges norms, aligning with the protagonist's character.

The term 'rebellious' captures the protagonist's defiance against societal expectations.

The struggles of the common man typically align with a tragic figure, making 'tragic' the most fitting choice.