Module 2: Differential Calculus in Two or More Variables (Chapter 14) (3 points) Writing Prompt: (typed 100-200 words) In your own words, define the level
Module 2: Differential Calculus in Two or More Variables (Chapter 14) (3 points) Writing Prompt: (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. (6 points) Math Prompt: (include a PDF or image) Let f(x, y) = ax2 + bx + cy2 + xy. Find non-zero values of a, b and c so that (1, 1) is a saddle point of f. Clearly show your work of finding a, b and c. Then, check your work by starting with the function with your values of a, b and c plugged in and show (1, 1) is a saddle point
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