Identifying surfaces Consider the surfaces defined by the following equations. a. Identify and briefly describe the surface. b. Find the xy-, xz-, and yz-traces, when they exist. c. Find the intercepts with the three coordinate axes, when they exist. d. Make a sketch of the surface. 18. x = y 2 64 − z 2 9
Identifying surfaces Consider the surfaces defined by the following equations. a. Identify and briefly describe the surface. b. Find the xy-, xz-, and yz-traces, when they exist. c. Find the intercepts with the three coordinate axes, when they exist. d. Make a sketch of the surface. 18. x = y 2 64 − z 2 9
Solution Summary: The author explains that the given equation is a hyperbolic paraboloid.
Identifying surfaces Consider the surfaces defined by the following equations.a. Identify and briefly describe the surface.b. Find the xy-, xz-, and yz-traces, when they exist.c. Find the intercepts with the three coordinate axes, when they exist.d. Sketch the surface.
Describe and sketch the surface represented by the given equation.y=-2
q7
a) Find the x-intercepts.
1. Find the y-intercepts.
2. Find the z-intercepts.
b) Find the equation of the xy-trace.
1. Find the equation of the xz-trace.
2. Find the equation of the yz-trace.
c) Sketch a graph of the surface.
Chapter 13 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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