Functions of Several Variables] Sketch the level curves f(x, y) = c of the following functions z = f(x, y) at the specified values of c. (a) f(x,y) = 1+x²+42 C = 1, 2, 4. (b) f(x, y) = exp(x2 - y²), c = 1, 2, 3. (c) f(x,y) = (d) f(x,y) = y-sinx, c = 0, +1, +2. 1+xy2, c = 0, ±1. Hint: Solve f(x, y) = c for x in terms of y and c.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Functions of Several Variables] Sketch the level curves f(x, y) = c of the following
functions z = f(x, y) at the specified values of c.
(a) f(x,y) = 1+x²+4y2, C = 1, 2, 4.
(b) f(x, y) =
exp(x² - y²), c = 1, 2, 3.
(c) f(x, y) = y sinx, c = 0, ±1, ±2.
(d) f(x, y) = 1 + xy2, c = 0, ±1. Hint: Solve f(x, y) = c for x in terms of y and c.
Transcribed Image Text:Functions of Several Variables] Sketch the level curves f(x, y) = c of the following functions z = f(x, y) at the specified values of c. (a) f(x,y) = 1+x²+4y2, C = 1, 2, 4. (b) f(x, y) = exp(x² - y²), c = 1, 2, 3. (c) f(x, y) = y sinx, c = 0, ±1, ±2. (d) f(x, y) = 1 + xy2, c = 0, ±1. Hint: Solve f(x, y) = c for x in terms of y and c.
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