Subjects multivariable calculus

Constant Plane D271E5

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1. The problem is to graphically illustrate the equation $z=1.46$. 2. This equation represents a constant value for $z$, meaning it is a horizontal plane in three-dimensional space where $z$ is always 1.46 regardless of $x$ or $y$. 3. Since the equation does not depend on $x$ or $y$, the graph is a flat plane parallel to the $xy$-plane at height $z=1.46$. 4. To visualize this, imagine a flat sheet hovering above the $xy$-plane at the height 1.46. 5. There is no function of $x$ or $y$ to plot here, just a constant value for $z$. Final answer: The graph of $z=1.46$ is a horizontal plane parallel to the $xy$-plane at height 1.46.