Each diagram represents the level curves of a function. For each function, consider the point above P on the surface z = f(x, y). (a) If the vectors below are normal to the surface at the point P, match each vector to a diagram. ? 1.2i+2j+2k™ ? 2-2i+2j+ 2k ? 3.2i +2j-2k™ ? 4. 2i - 2j+ 2k (b) If the equations below are tangent planes to the surface at the point P, match each equation of the plane to a diagram. A B D (Click on a graph to enlarge it)
Each diagram represents the level curves of a function. For each function, consider the point above P on the surface z = f(x, y). (a) If the vectors below are normal to the surface at the point P, match each vector to a diagram. ? 1.2i+2j+2k™ ? 2-2i+2j+ 2k ? 3.2i +2j-2k™ ? 4. 2i - 2j+ 2k (b) If the equations below are tangent planes to the surface at the point P, match each equation of the plane to a diagram. A B D (Click on a graph to enlarge it)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Each diagram represents the level curves of a function. For
each function, consider the point above
P on the surface
z = f(x, y).
(a) If the vectors below are normal to the surface at the
point
P, match each vector to a diagram.
? 1.2i +2j+2k™
? 2-2i+2j+ 2k
?
3.2i +2j-2k™
? 4.
2i - 2j+ 2k
(b) If the equations below are tangent planes to the surface
at the point
P, match each equation of the plane to a diagram.
?
1.2x - 2y = 2z = 2
? 2. -
2
2
+
Ne
2
N|O
2
? 3. x+y+z=4
==
? 4.-3x - 3y + 3z = 6
A
B
D
(Click on a graph to enlarge it)
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