This is the 3187th most frequent Arabic word.
المنزلي
"Domestic" or "household."
In this context, 'المنزلي' describes 'الواجب' (homework) as related to 'المنزل' (home).
كنت أقوم بأداء الواجب المنزلي لثلاث ساعات.
I was doing the homework for three hours.
Here, 'المنزلية' (the feminine form of 'المنزلي') characterizes 'الأدوات' (tools) as pertaining to the household or home.
يجب تنظيف الأدوات المنزلية بانتظام.
Household tools need to be cleaned regularly.
In this example, 'المنزلي' modifies 'الاستخدام' (use) to indicate its relevance to the home or domestic environment.