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Chapter 12: Q. 13 (page 988)
Fill in the blanks to complete the limit rules. You may assume that and exists and that k is a scalar.
Ans: (According to rules of limit.)
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In Exercises, find the maximum and minimum of the function f subject to the given constraint. In each case explain why the maximum and minimum must both exist.
Given a function of n variables, and a constraint equation, how many equations would we obtain if we tried to optimize f by the method of Lagrange multipliers?
In Exercises , use the partial derivatives of role="math" localid="1650186824938" 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, find the maximum and minimum of the function f subject to the given constraint. In each case explain why the maximum and minimum must both exist.
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