Modal Auxiliary Verbs - 2

Will you have a cup of tea, Samira? What does the modal express here?

Which one of these indicate assumption in the use of 'will'?

After having a long bath you must feel relaxed. What does the modal express here?

Identify the use of 'need to' in passive infinite sentence-

Nazim would like to go to the movies later. What does the modal express here?

You will finish your homework this instant. What does the modal express here?

I must know Meherab is provided for. What does the modal express here?

Certainty in past tense is indicated by using which of these with 'must'?

You have to start earning. What does the modal express here?

I will be singing at the concert as well. What does the modal express here?