What methods can a writer use to get the reader to respond favorabily to a request?

Appeal to their emotions. Make them believe in your cause. :)

How do I begin it?

To begin persuading the reader to respond favorably to a request, start by understanding your audience and their needs. Here are some steps you can follow:

1. Identify your target audience: Determine who you're addressing and what their interests, values, and priorities might be.

2. Research your audience: Gain insights into their background, preferences, and any specific challenges or concerns they might have.

3. Understand their perspective: Put yourself in their shoes and try to see things from their point of view. Think about how your request aligns with their goals or how it can benefit them.

4. Establish credibility: Build trust and establish your expertise by showcasing your qualifications, achievements, or any relevant experiences related to your request.

5. Frame your request in a meaningful way: Before making the request, outline the key reasons why the reader should respond positively. Highlight the benefits they will gain or emphasize how it aligns with their values and priorities.

6. Use persuasive language: Choose your words carefully and use emotional and persuasive techniques to engage the reader. You can appeal to their emotions by telling a compelling story or using powerful descriptive language to evoke a specific response.

7. Provide evidence or examples: Support your request with evidence, facts, statistics, or real-world examples that strengthen your argument. This can help convince the reader of the validity of your request.

8. Anticipate objections: Address potential concerns or objections the reader might have and provide logical counterarguments to alleviate their doubts.

9. Conclude with a clear and specific call to action: Clearly state what you want the reader to do, whether it's taking a specific action, providing support, or making a decision. Be direct and use confident language.

Remember that different approaches may be more effective depending on the audience and the specific request. Tailor your writing style and approach accordingly to maximize your chances of obtaining a favorable response.