# In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You

## Question:

In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists.

Let f(x, y, z) = x + 2y + 3z. Find the maximum and minimum values of f(x, y, z) subject to the constraint x^{2} + y^{2} + z^{2} = 16.

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**Related Book For**

## Calculus For Business, Economics And The Social And Life Sciences

**ISBN:** 9780073532387

11th Brief Edition

**Authors:** Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price