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Definite Integrals

Using properties of definite integrals, evaluate

Integrals

Application of Derivatives

A rectangle is inscribed in a semicircle of radius 5. Find the dimensions of the rectangle that will make its area maximum.

Differential Calculus

find the points where f(x)f(x)f(x) has a local maximum or minimum and determine the nature of these points.

Hydrocarbons

Explain Markovnikov’s rule. Provide an example of an addition reaction following Markovnikov’s rule.

Equilibrium

Differentiate between Kp and Kc in chemical equilibrium. Under what conditions do they become equal?

Thermodynamics

Define enthalpy and entropy. How is Gibbs free energy related to enthalpy and entropy? Describe its significance.

Chemical Bonding

Describe the octet rule. Discuss its limitations and give examples where the octet rule does not hold.

Structure of Atom

Explain Bohr’s model of the hydrogen atom. How does it account for the line spectrum of hydrogen?

Polymers

Define polymerization and distinguish between addition and condensation polymerization. Give examples of each type.