1) 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.

2) 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.

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