Chapter 12: Q 17. (page 916)
In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level 鈥渃urve(s).鈥
All of the level curves are circles except one, which is a point.
Short Answer

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Chapter 12: Q 17. (page 916)
In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level 鈥渃urve(s).鈥
All of the level curves are circles except one, which is a point.

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Solve the exact differential equations in Exercises 63鈥66.
How do you find the critical points of a function of two variables, ? What is the significance of the critical points?
Solve the exact differential equations in Exercises 63鈥66.
In Exercises , use the partial derivatives of and the point specified to
find the equation of the line tangent to the surface defined by the function in the direction,
find the equation of the line tangent to the surface defined by the function in the direction, and
find the equation of the plane containing the lines you found in parts and .
Gradients: Find the gradient of the given function, and find the direction in which the function increases most rapidly at the specified point P.
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