In the following problems, show ALL your mathematical work and explain your reasoning accurately for FULL CREDIT. State any assumptions you make. O use 1. (10 points) Answer the following questions with a detailed explanation, AND diagrams to illustrate the meaning of your words. Be exact and accurate. USE THE PROVIDED SPACE TO ANSWER EACH QUESTION. a. Describe how rainbows form. Who was the first scientist to provide a mathematical explanation for rainbows successfully (include name, which country and century). b. Describe what makes the sky blue. Name: Name: c. Describe why the sun appears orange/red at sunset and yellow when high in the sky at midday.