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For the function f(x, y) = x² + y², find the tangent to the level curve at point (1, 1) that has negative vertical component. Tangent: (Use i or j for i or j.) The level curve corresponding to f(x, y) = 2 is shown below. Draw V f(1, 1) and the tangent vector at (1, 1). (Note: You can move the endpoints of the vectors after you draw them.)

For the function f(x, y) = x² + y², find the tangent to the level curve at point (1, 1) that has negative vertical component. Tangent: (Use i or j for i or j.) The level curve corresponding to f(x, y) = 2 is shown below. Draw V f(1, 1) and the tangent vector at (1, 1). (Note: You can move the endpoints of the vectors after you draw them.)

Advanced Engineering Mathematics
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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For the function f(r, y) = 2² + y°, find the tangent to the level curve at point (1, 1) that has negative vertical component. Tangent: (Use i or j for i or j.) The level curve corresponding to f(r, y) = 2 is shown below. Draw V f(1, 1) and the tangent vector at (1, 1). (Note: You can move the endpoints of the vectors after you draw them.) -2 -3 Clear All Draw: 3.
Transcribed Image Text:For the function f(r, y) = 2² + y°, find the tangent to the level curve at point (1, 1) that has negative vertical component. Tangent: (Use i or j for i or j.) The level curve corresponding to f(r, y) = 2 is shown below. Draw V f(1, 1) and the tangent vector at (1, 1). (Note: You can move the endpoints of the vectors after you draw them.) -2 -3 Clear All Draw: 3.
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