The coolant hose runs from your radiator to your intake manifold. The heater hoses run from the radiator to the back of the engine block, as do the hoses attached to the intake manifold.
Inspect each hose for cracks, frisions or tiny tears. Locating any of these means that hose needs to be replaced immediately. You may need to use a cloth to wipe the hoses and clamps free of grease and oil in order to perform this maintenance.
Pinch the end of each hose in your Toyota Corolla and try to feel ridges or gaps inside. If you feel pits or ridges, the hose is failing from the inside and needs to be replaced.
Run your hands down the hoses to make sure they feel firm, not soft or pliable. If the hoses are soft to the touch, replace them to prevent failure.