Learn English – How to politely respond when someone calls your name

While it's grammatically correct to use an explicit subject with the imperative mood (e.g. "Somebody help!", "Nobody move!", "Don't everybody talk at once!", "Don't you dare go in there!"), it's somewhat informal, not very common in professional writing. In professional writing, the best solution is to write:

Managers, please feel free to forward this request to your team if you believe they can give helpful feedback.

with a comma after "managers". Here the word "managers" indicates who the sentence is addressed to (compare "Hi, <person's name>, how are you?"), but the bulk of the sentence uses an implicit "you" (as is normal in the imperative mood).

When saying goodbye, take it easy and take care are virtual equivalents. I wouldn't construe either one to mean anything more than a polite yet standard way of saying goodbye when two people depart from each other.

I also would like to know what situations I can use the phrase "Take it easy."

There are several uses of that phrase besides the standard goodbye. In context, it can be used when:

• you try to calm someone down (Bob was about to get in a fight when his friends told him, "Calm down, take it easy.")
• you want someone to be cautious (Jill was teaching her daughter how to drive, when they approached a sharp turn in the road. "This road takes a sharp turn up here," Jill said. "Take it easy on this curve.")
• you want to tell someone they should embrace a more carefree lifestyle (Ted said to his friend Janet, "You stress out too much; you should just learn to take it easy.")
• you want to help soothe or calm someone's anxieties or emotions (Brenda broke down in tears when she told her husband the bad news: she had just lost her job. Her husband embraced her, and tried to offer some reassurance. "Take it easy, honey," he said. "Maybe this will work out for the best somehow.")

Similarly, "take care" is usually just a shortened form of "take care of yourself," which is why some folks may say that to you when you're not feeling well, either physically or emotionally.

Both phrases often have undertones of empathy, although "take it easy," usually means to slow down or relax, while "take care" means to get well, or remain in good health or spirits. As I said before, though, when either of these are used as a substitute for goodbye, there's a good chance the speaker used one instead of the other only arbitrarily, unless something earlier conversation might have changed that.