Consider the function f(x, y) = - 5x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (2,4) in the direction in which ƒ decreases most rapidly. vector = (b) Suppose v = 7ỉ + 2] + ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (2, 4). Wha is a? a=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the function f(x, y) = (eª – 5x) cos(y). Suppose S is the surface z = f(x, y).
(a) Find a vector which is perpendicular to the level curve of f through the point (2,4) in the direction in which f decreases most rapidly.
vector =
(b) Suppose v = 77 + 27 + ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (2, 4). What
is a?
a=
Transcribed Image Text:Consider the function f(x, y) = (eª – 5x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (2,4) in the direction in which f decreases most rapidly. vector = (b) Suppose v = 77 + 27 + ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (2, 4). What is a? a=
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