Writing Prompt 1: (typed, 100-200 words) How can you determine if three points lie on the same line? Describe at least two ways. How can you determine if four points lie on the same plane? Explain your process in detail.

Writing Prompt 2: (typed 100-200 words)

In your own words, define the level curves of a function of two variables. Describe how level curves can help you sketch a graph of a surface. Give examples of several surfaces whose level curves are circles and at least one example of a surface whose level curves are not circles.

Writing Prompt 3: (typed 100-200 words)

Explain how to find the absolute maximum and absolute minimum of a continuous function on a closed and bounded region R.