Centroid = ((2+4+6)/3, (3+5+1)/3) = (4, 3).

Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).

Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).

Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).

The critical angle occurs when light travels from a denser medium (water) to a less dense medium (air).

Finding f'(x) = 3x^2 - 12x + 9 and solving gives critical points at x = 1 and x = 3.

The Dandi March was primarily aimed at defying the salt laws imposed by the British, symbolizing the broader struggle for independence.

The Dandi March in 1930 was a key event in the Civil Disobedience Movement, led by Gandhi to protest against the salt tax.

The sentence is correct. 'Data' can be treated as a singular mass noun in modern usage, hence 'is' is appropriate.

Johannes Gutenberg invented the printing press around 1440, which revolutionized the spread of information.

Energy is defined as work done, which has the dimensional formula [M^1 L^2 T^-2].

Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].

Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].

The dimensional formula for work is [M^1 L^2 T^-2].

Lenz's Law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.

The Directive Principles of State Policy are contained in Part IV of the Constitution.

Alexander Fleming discovered penicillin in 1928, which led to the development of antibiotics.

The maximum displacement in SHM is equal to the amplitude A.

Distance = |2(1) + 3(2) - 6| / √(2² + 3²) = |2 + 6 - 6| / √13 = 2/√13.

Distance = |2(3) + 3(4) - 6| / √(2² + 3²) = |6 + 12 - 6| / √13 = 12/√13.

To present factual information and address misconceptions indicates that the aim is to clarify.

The phrase 'overlooked in mainstream media' suggests that the aspects are common or 'mundane' rather than glamorous or exciting.

The Dust Bowl was caused by a combination of severe drought and poor agricultural practices, including overgrazing, which led to soil degradation.

The Earth's magnetic field is approximately 1000 times weaker than that of a typical refrigerator magnet.

Eccentricity e = c/a = 6/10 = 0.6.

The Industrial Revolution marked a shift to factory-based production, transforming the economy and leading to urbanization.

Akbar's economic policies focused on maximizing revenue from agriculture through reforms like the Din-i Ilahi and the introduction of the zabt system.

Mughal economic policies included centralized control over trade, decentralized revenue collection, and promotion of local handicrafts, contributing to a vibrant economy.

The efficiency of a Carnot engine is determined by the temperatures of both the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).

The electric field (E) between the plates of a parallel plate capacitor is given by the formula E = V/d, where V is the voltage and d is the separation between the plates.