Final answer:
Terbutaline, a beta-adrenergic agonist, is primarily used for the management of asthma and COPD due to its bronchodilator effect.
Step-by-step explanation:
The primary therapeutic uses of terbutaline, a beta-adrenergic agonist, are related to its ability to relax smooth muscles. Specifically, terbutaline is indicated for the management of asthma and chronic obstructive pulmonary disease (COPD), as it causes bronchodilation which helps in easing breathing in these respiratory conditions. This action is due to the stimulation of beta-2 adrenergic receptors, leading to the relaxation of the bronchial smooth muscles and the opening of the airways. Therefore, the correct answer to the question would be Option 2: Management of asthma and chronic obstructive pulmonary disease (COPD).