**Rule:** 'Be going to' is used to express a future plan or intention that has already been decided. The phrase 'I've made up my mind' clearly indicates a prior decision. Option (b) 'will accept' is for a spontaneous decision made at the moment of speaking, which contradicts the first part of the sentence.

**Rule:** The 'be going to' form is used for predictions based on clear and immediate present evidence. 'Look at the time!' provides the evidence that they are running late and are therefore very likely to miss the start of the play. It's a logical conclusion from the current situation.

**Rule:** The 'be going to' form is used to make a prediction based on immediate present evidence. The speaker sees a situation that makes them believe the glass is about to be dropped. This is a warning based on a current observation. Option (a) is a more general prediction without such immediate evidence.

**Rule:** The Simple Future with 'will' (or 'will not') is used to make a formal promise. The word 'promise' explicitly signals this function. 'will not be' is the correct negative future form. Option (d) is for prior intentions, which is less fitting with the act of promising now.

**Rule:** The Future Continuous Tense (will be + verb-ing) can describe an action that will happen in the normal course of events. It is expected that the pilot will give instructions as a routine part of the landing process. It describes what we can expect to be happening soon.

**Rule:** The Future Perfect Tense (will have + past participle) is used to indicate that an action will be complete before a certain time in the future. 'By Tuesday' serves as the deadline for the completion of the repair work. Option (d) suggests the work will still be in progress on Tuesday. Options (a) and (c) are incorrect tenses.

**Rule:** The Simple Present Tense is used for astronomical or natural events that happen on a predictable, fixed schedule. Like sunrise or sunset, an eclipse is a timetabled event. While other future forms are not strictly wrong, simple present is the most precise and formal tense for such facts.

**Rule:** This sentence requires the negative form of the Future Perfect Tense (will not have + past participle). It expresses the idea that an action will not be completed by a particular point in the future. The deadline is 'by the time the manager asks for it'. Option (d) means the action won't be in progress. Options (a) and (c) are incorrect.

**Rule:** The Future Simple Passive voice ('will be' + past participle) is needed because the 'ceremony' is the object of the action 'to broadcast'. This is a statement about a planned future event. Option (a) is active voice. Option (c) is for regular schedules. Option (b) is future perfect active.

**Rule:** The Simple Future with 'will' is used here to express a simple intention for the near future. The speaker is stating what they plan to do before leaving. Option (c) 'will have sent' would also be correct, emphasizing completion, but the simple future is a more direct statement of intent. Options (a) and (b) are incorrect.