Determine if the equation is a linear equation in the variables x, y, and z. If the equation is not linear, explain why not. (cos(5))x - 2y + z = √5 The equation is a linear equation. O The equation is not a linear equation since at least one of x, y, or z has a power other than 1. O The equation is not a linear equation since at least one of x, y, or z has a coefficient other than 1. The equation is not a linear equation since it contains a trigonometric function. O The equation is not a linear equation since it contains a product of two variables.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine if the equation is a linear equation in the variables x, y, and z. If the equation is not linear, explain why not.
(cos(5))x - 2y + z = √√5
The equation is a linear equation.
O The equation is not a linear equation since at least one of x, y, or z has a power other than 1.
O The equation is not a linear equation since at least one of x, y, or z has a coefficient other than 1.
O The equation is not a linear equation since it contains a trigonometric function.
O The equation is not a linear equation since it contains a product of two variables.
Transcribed Image Text:Determine if the equation is a linear equation in the variables x, y, and z. If the equation is not linear, explain why not. (cos(5))x - 2y + z = √√5 The equation is a linear equation. O The equation is not a linear equation since at least one of x, y, or z has a power other than 1. O The equation is not a linear equation since at least one of x, y, or z has a coefficient other than 1. O The equation is not a linear equation since it contains a trigonometric function. O The equation is not a linear equation since it contains a product of two variables.
Expert Solution
Step 1

The given equation is cos5x-2y+z=5.

We have to determine whether the equation is linear or not in the variables x, y, and z.

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