Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.

Alveoli are the tiny air sacs in the lungs where the exchange of oxygen and carbon dioxide takes place.

The fundamental frequency is given by f = v/λ. For a pipe open at both ends, λ = 2L = 4 m. Thus, f = 343 m/s / 4 m = 85.75 Hz, approximately 85 Hz.

The fundamental frequency is given by f = v/λ; for a pipe open at both ends, λ = 2L, so f = v/(2L) = 343/(2*2) = 42.875 Hz.

Will write indicates an action that will happen in the future.

The GCF of 24 and 36 is 12, as it is the largest number that divides both without leaving a remainder.

The GDP growth rate of India is projected to be around 6.8% for 2023.

The general electronic configuration of alkali metals is ns^1, where n is the principal quantum number.

The equation x(t) = A e^(-bt) cos(ωt) describes the motion of a damped harmonic oscillator.

The equation of motion for a damped harmonic oscillator includes a damping term and is given by m d²x/dt² + b dx/dt + kx = 0.

The equation of motion for a damped oscillator includes a damping term (b dx/dt) along with the restoring force (kx).

The equation x^2 + y^2 = r^2 represents a family of circles with varying radii (r).

The equation x^2 + y^2 = r^2 represents a family of circles with radius r centered at the origin.

The equation y = mx^2 + c represents a family of parabolas that open upwards or downwards depending on the sign of m.

The equation y^2 = 4ax represents a family of parabolas that open to the right with varying values of 'a'.

The general formula for aldehydes is C_nH_(2n+1)CHO, where n is the number of carbon atoms.

The general formula for alkanes is C_nH_(2n+2).

Alkenes are unsaturated hydrocarbons with the general formula CnH2n.

The general formula for alkynes is C_nH_(2n-2), where n is the number of carbon atoms.

The general formula for carbohydrates is C_n(H2O)_n, indicating that they are hydrates of carbon.

The general formula for carboxylic acids is C_nH_2nO_2.

The general formula for cycloalkanes is CnH2n.

The general formula for ketones is CnH2nO, where n is the number of carbon atoms.

The general formula for secondary amines is R2NH, where R represents an alkyl or aryl group.

The general formula for secondary amines is R2NH, where R represents an alkyl group.

Integrating both sides gives y = ∫3x^2 dx = x^3 + C.

The differential equation is separable. Integrating both sides gives ln|y| = 3x + C, hence y = Ce^(3x).

This is a separable equation, and integrating gives y = Ce^(-4x).

The integrating factor is e^(-4x). The solution is y = Ce^(4x) + 3/4.

The characteristic equation is r^2 - 3r + 2 = 0, which factors to (r - 1)(r - 2) = 0. Thus, the general solution is y = C1 e^(2x) + C2 e^(x).