1. §11.3. Q12. Let f(x, y) = xe¯ + 5y. (a). Find the slope of the surface z = f(x, y) in the x-directon at the point (3,0). (b). Find the slope of the surface z = f(x, y) in the y-directon at the point (3,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. §11.3. Q12. Let \( f(x, y) = xe^{-y} + 5y \).

(a) Find the slope of the surface \( z = f(x, y) \) in the \( x \)-direction at the point \( (3, 0) \).

(b) Find the slope of the surface \( z = f(x, y) \) in the \( y \)-direction at the point \( (3, 0) \).
Transcribed Image Text:1. §11.3. Q12. Let \( f(x, y) = xe^{-y} + 5y \). (a) Find the slope of the surface \( z = f(x, y) \) in the \( x \)-direction at the point \( (3, 0) \). (b) Find the slope of the surface \( z = f(x, y) \) in the \( y \)-direction at the point \( (3, 0) \).
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Step 1: To find.

In this question, we will find the slope of the surface in the x- and y-direction at the given point.

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