1. This question concerns the field F(x, y) = (2, -x). a) Plot field F in the window [-3, 3] x [-2,2]. Draw a field arrow at each grid point. Draw each arrow about 0.5 units in length. The arrows at (0,0) and (1,0) have already been drawn. -3 2 = -2 Y 3 I b) On your field plot, draw in the curve C, which starts at (-3,-1) and "follows the field", meaning that at every point (x, y) on C, the vector F(x, y) is tangent to C. c) Note that at any point (x, y) on curve C, the slope dy/dx of C must equal the "slope" of the vector F(x, y), which is -x/2, ore. Therefore, if the equation for curve C is written in the form y = f(x), then f(x) must satisfy f'(x): -. Find the equation for curve C.

1. This question concerns the field F(x, y) = (2, -x). a) Plot field F in the window [-3, 3] x [-2,2]. Draw a field arrow at each grid point. Draw each arrow about 0.5 units in length. The arrows at (0,0) and (1,0) have already been drawn. -3 2 = -2 Y 3 I b) On your field plot, draw in the curve C, which starts at (-3,-1) and "follows the field", meaning that at every point (x, y) on C, the vector F(x, y) is tangent to C. c) Note that at any point (x, y) on curve C, the slope dy/dx of C must equal the "slope" of the vector F(x, y), which is -x/2, ore. Therefore, if the equation for curve C is written in the form y = f(x), then f(x) must satisfy f'(x): -. Find the equation for curve C.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 41E

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