Examine the function \( f: \mathbf{R} \setminus \{-1\} \to \mathbf{R} \) defined as \( f(x) = \frac{2x + 1}{x + 1} \). i) Verify that \( f(x) \) is properly defined and is a one-to-one function. ii) Demonstrate that \( ...

Write a brief essay about the ailments caused by noise pollution.

Write a brief essay about how animals are affected by air pollution.

Write a brief remark on chemicals used in plant protection.

Write a brief essay about illnesses that spread.

Discuss how different human activities contribute to land deterioration using appropriate examples.

“Most of the Third World cities are really two cities within one” Talk about.

Explain the depletion of India’s wild life.

Distinguish between carrying capacity that is assimilative and supportive.