x + y ´1 + x² + y² ° Consider the function z = ƒ (x, y) = To give you an idea about this function, we give you a picture of its graph below. In answering the questions below, you may not refer to this graph however. But you can use it as a check of your calculations.) a) Find the contour lines for levels -1,-0.5, 0, 0.5 and 1. b) Find the general contour line, i.e., for an arbitrary level a. c) From b), find the range of the function f.
x + y ´1 + x² + y² ° Consider the function z = ƒ (x, y) = To give you an idea about this function, we give you a picture of its graph below. In answering the questions below, you may not refer to this graph however. But you can use it as a check of your calculations.) a) Find the contour lines for levels -1,-0.5, 0, 0.5 and 1. b) Find the general contour line, i.e., for an arbitrary level a. c) From b), find the range of the function f.
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:Consider the function z = = f(x, y) =
x + y
1+x² + y²
-. To give you an idea about this function, we give you a
picture of its graph below. In answering the questions below, you may not refer to this graph however.
(But you can use it as a check of your calculations.)
a) Find the contour lines for levels -1,-0.5, 0, 0.5 and 1.
b) Find the general contour line, i.e., for an arbitrary level a.
c) From b), find the range of the function f.
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