15. (a) For z=f(x, y) = xy, sketch and label the level curves z = ±1, z = 12. (b) Sketch and label cross-sections off with x = +1, x = ±2. (e) The surface z = xy is cut by a vertical plane con- taining the line y=x. Sketch the cross-section.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
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15. (a)
For z=f(x, y) = xy, sketch and label the level
curves z = ±1, z = +2.
(b) Sketch and label cross-sections off with x = ±1,
x = +2.
(c) The surface z = xy is cut by a vertical plane con-
taining the line y = x. Sketch the cross-section.
Transcribed Image Text:15. (a) For z=f(x, y) = xy, sketch and label the level curves z = ±1, z = +2. (b) Sketch and label cross-sections off with x = ±1, x = +2. (c) The surface z = xy is cut by a vertical plane con- taining the line y = x. Sketch the cross-section.
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