Chapter 12: Q. 17 (page 989)

Continuity: Find the set of points where the function is continuous.
$f (x, y, z) = \frac{x + y + z}{x - 2 y + 3 z}$

Short Answer

Expert verified

The given function is continuous for all (x, y, z) in $R^{3}$ at all points except those where x-2y+3z=0

Step by step solution

Step 1. Given information

$f (x, y, z) = \frac{x + y + z}{x - 2 y + 3 z}$

Step 2. Explanation

The given function $f (x, y, z) = \frac{x + y + z}{x - 2 y + 3 z}$ is a rational function.

Therefore, f(x, y, z) is continuous for all (x, y, z) in $R^{3}$ at all points except those where x-2y+3z=0

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Continuity: Find the set of points where the function is continuous.
$f (x, y, z) = \frac{x + y + z}{x - 2 y + 3 z}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Continuity: Find the set of points where the function is continuous.f(x,y,z)=x+y+zx−2y+3z

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Continuity: Find the set of points where the function is continuous.
$f (x, y, z) = \frac{x + y + z}{x - 2 y + 3 z}$