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. 8. z − x = 0
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. 8. z − x = 0
Solution Summary: The author explains that the surface of z-sqrtx=0 represents a cylinder which consist of lines parallel to the y-axis.
Identify and sketch the surfaces described by the given equations. Explain.
Consider the following equation of a quadric surface.
y²
25
100
+
= z²
a. Find the intercepts with the three coordinate axes, if they exist.
b. Find the equations of the xy-, xz-, and yz-traces, if they exist.
c. Identify and sketch a graph of the surface.
a. Find the x-intercepts, if they exist. Select the correct choice and fill in any answer boxes within your choice.
A. The surface intersects the x-axis at x =
(Use a comma to separate answers as needed.)
B. There are no x-intercepts.
Identify and sketch the graph of the following SURFACES.
2 =
√9 9 - y²
Chapter 13 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
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