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Vectors

Differential Equations

Application of Integrals

Find the area bounded by the curve:

and the line:

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.