Write a function named select-multiples value 1st in Scheme that takes an integer and a list of inte and uses fold (or reduce) to return list of elements that are multiples of value. You must use either fold or reduce to do the vast majority of the work. (You may do a little pre- and po processing outside the call to fold.) You may use the built-in fold method by adding the line (require 'list-lib), or you can use your own implementation. You may not use the built-in select function. The built-in fold function has parameters in this order: action partial-result lst. You can detect whether num is a multiple of value by checking whether (mod num value) is 0.

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Using Scheme: 

**Title: Creating a Function to Select Multiples in Scheme**

**Objective:**
Learn how to write a function named `select-multiples` in Scheme that processes an integer and a list of integers. The function will utilize `fold` (or `reduce`) to return a list of elements that are multiples of the specified integer.

**Instructions:**

1. **Function Requirements:**
   - Create a function `select-multiples value lst`, which uses `fold` or `reduce` to determine multiples of `value` in the list `lst`.

2. **Constraints:**
   - The vast majority of the work should be handled by `fold` or `reduce`. Minimal processing is permitted outside the `fold` call.
   - You may add the line `(require 'list-lib)` to access the built-in `fold` method.
   - Do not use the built-in `select` function.

3. **Understanding `fold`:**
   - The `fold` function parameters are ordered as follows: `action partial-result lst`.
   - You need to identify if `num` is a multiple of `value` by verifying if `(mod num value)` equals 0.

4. **Examples:**

   - `(my-select 5 '(5))` should return `(5)`
   - `(my-select 3 '(7 9))` should return `()`
   - `(my-select 5 '(1 15 25))` should return `(15 25)`
   - `(my-select 2 '())` should return `()` 

This approach emphasizes functional programming concepts, particularly leveraging higher-order functions like `fold` to simplify data processing tasks in Scheme.
Transcribed Image Text:**Title: Creating a Function to Select Multiples in Scheme** **Objective:** Learn how to write a function named `select-multiples` in Scheme that processes an integer and a list of integers. The function will utilize `fold` (or `reduce`) to return a list of elements that are multiples of the specified integer. **Instructions:** 1. **Function Requirements:** - Create a function `select-multiples value lst`, which uses `fold` or `reduce` to determine multiples of `value` in the list `lst`. 2. **Constraints:** - The vast majority of the work should be handled by `fold` or `reduce`. Minimal processing is permitted outside the `fold` call. - You may add the line `(require 'list-lib)` to access the built-in `fold` method. - Do not use the built-in `select` function. 3. **Understanding `fold`:** - The `fold` function parameters are ordered as follows: `action partial-result lst`. - You need to identify if `num` is a multiple of `value` by verifying if `(mod num value)` equals 0. 4. **Examples:** - `(my-select 5 '(5))` should return `(5)` - `(my-select 3 '(7 9))` should return `()` - `(my-select 5 '(1 15 25))` should return `(15 25)` - `(my-select 2 '())` should return `()` This approach emphasizes functional programming concepts, particularly leveraging higher-order functions like `fold` to simplify data processing tasks in Scheme.
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