You don' cups, Academic context: Develop a comprehensive analysis of how to determine the number of vertices between two points on an ellipse if there is no common factors in their radii. Use only these constraints: (a) The vertexes must be distinct and non-collinear with each other, (b) At least four colors have to be used and represent different aspects such as color contrast or font size, (c) You should also include a detailed explanation of how the cursor would look like and what factors influence its appeal. Also, please provide two examples where this product can be applied in practical applications, particularly within the field of web design for an educational website focused on mathematics education targeting high school-age children, which involves: The Cursor's Journey (Difficulty Level: High): As you continue to refine the instructions, please provide a comprehensive guide and detailed step by step solution. The cursor should have an engaging design with two distinct features that enhance its user-friendliness while considering ease of use for children aged 12 years and above. Incorporate these additional constraints: - The design must accommodate both left-handed (L) and right-handed (R) users, without compromising the aesthetic appeal in less than 5 seconds load time;