1. The second seed came out of the earth.

2. The second seed came out of the Earth.

(Which one is correct? Do I have to use 'earth' or 'Earth'?)

3. I felt to get up early.
3-1. I felt getting up early.
3-2. I felt like getting up early.
3-3. I felt that I had to get up early.

(Which one is correct? What expressions can we use with 'felt'?)

4. The song feels nice and the flower smells beautiful.
(Is this sentence correct?)

5. Please meet Tom.
5-1. Let me introduce Tom to you.

(I know that 5 and 5-1 is the same? Why is that? Why is 5 the same as 5-1?)

6. You grew so much the last few days.
(Is 'the last few days' an adverbial phrase? Which preposition is missing before the last few days?)

1&2. Earth is correct if you are talking about the planet. "earth" is correct if you are talking about just plain dirt.

3-2 and 3-3 are correct but have different meanings.
I felt like getting up early - indicates that you wanted to do that.
I felt that I had to get up early -
indicates that it was required.

4. That is not correct.

5."meet" and "introduce" are synonyms used in that context.

6. Yes, it is an adverbial phrase. You can add the prepositions "over" or "during". However, you also need to
change the verb to "have grown" since it is a continuing action.

1. Both "earth" and "Earth" can be correct, depending on your intended meaning. "Earth" with a capital 'E' refers specifically to our planet, whereas "earth" with a lowercase 'e' can refer to the soil or dirt. If you are referring to the soil, then you should use "earth." If you are referring to the planet, then you should use "Earth."

2. Both "I felt to get up early" and "I felt getting up early" are grammatically incorrect. The correct form is "I felt like getting up early." The phrase "felt like" indicates a desire or inclination to do something.

3-3. "I felt that I had to get up early" is the correct expression. "Felt" can be followed by the word "that" to introduce a clause expressing a belief or perception.

4. The sentence "The song feels nice and the flower smells beautiful" is grammatically correct. "Feels" and "smells" are verbs that describe sensory experiences.

5. Yes, both sentences are essentially the same in terms of meaning. "Please meet Tom" and "Let me introduce Tom to you" convey the same message, which is asking someone to become acquainted with Tom.

6. "The last few days" is an adverbial phrase indicating a specific period of time. In this sentence, the preposition "in" is missing before "the last few days." The corrected sentence would be "You grew so much in the last few days."