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 \( ...

Distinguish between carrying capacity that is assimilative and supportive.

Explain the depletion of India’s wild life.

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

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

Write a brief essay about illnesses that spread.

Write a brief remark on chemicals used in plant protection.

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

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

Compose a brief essay about solar power.