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Let f(x, y) = sin(x + y). Level curve at k € ran(f) = [−1, 1]: {(x, y) | sin(x + y) = k} = {(x, y) | x + y = 0, 0 € R, sin(0) = k} {(x, y) | x + y = (−1)ª sin−¹(k) + nπ, n = Z} Verify!, lines with slope -1 =

Let f(x, y) = sin(x + y). Level curve at k € ran(f) = [−1, 1]: {(x, y) | sin(x + y) = k} = {(x, y) | x + y = 0, 0 € R, sin(0) = k} {(x, y) | x + y = (−1)ª sin−¹(k) + nπ, n = Z} Verify!, lines with slope -1 =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 14E
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Let f(x, y) = sin(x + y). Level curve at k € ran(f) = [−1, 1]: {(x, y) | sin(x + y) = k} = {(x, y) | x + y = 0, 0 € R, sin(0) = k} {(x, y) | x + y = (−1)ª sin−¹(k) + nπ, n = Z} Verify!, lines with slope -1 =
Transcribed Image Text:Let f(x, y) = sin(x + y). Level curve at k € ran(f) = [−1, 1]: {(x, y) | sin(x + y) = k} = {(x, y) | x + y = 0, 0 € R, sin(0) = k} {(x, y) | x + y = (−1)ª sin−¹(k) + nπ, n = Z} Verify!, lines with slope -1 =
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