Chapter 12: Q 15. (page 916)
In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level “curve(s).”
One level curve is a circle together with the point that is the center of the circle.
Chapter 12: Q 15. (page 916)
In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level “curve(s).”
One level curve is a circle together with the point that is the center of the circle.
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Get started for freeEvaluate the following limits, or explain why the limit does not exist.
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 .
In Exercises, by considering the function subject to the constraint you will explore a situation in which the method of Lagrange multipliers does not provide an extremum of a function.
Why does the method of Lagrange multipliers fail with this function?
In Exercises 24–32, find the maximum and minimum of the functionf subject to the given constraint. In each case explain why the maximum and minimum must both exist.
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