Lecture 9 Notes

0 check velocity at x 1 check velocity at 1 x 0

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Unformatted text preview: 1 1 2 Ax = = 41 1 5 • Solutions must follow the arrows. x. Introduction to systems of equations • Which of the following equations matches the given direction field? (A) (B) (C) (D) ￿ x ￿ x ￿ x ￿ x ￿ ￿￿ ￿ −1 1 x = 11 y ￿ ￿￿ ￿ 1 −1 x = 11 y ￿ ￿￿ ￿ 11 x = −1 1 y ￿ ￿￿ ￿ 11 x = 1 −1 y (E) Explain, please. http://kevinmehall.net/p/equationexplorer/ vectorfield.html#(x+y)i+(x-y)j%7C%5B-10,10,-10,10%5D Introduction to systems of equations • Which of the following equations matches the given direction field? (A) (B) (C) (D) ￿ x ￿ x ￿ x ￿ x ￿ ￿￿ ￿ −1 1 x = 11 y ￿ ￿￿ ￿ 1 −1 x = 11 y ￿ ￿￿ ￿ 11 x = −1 1 y ￿ ￿￿ ￿ 11 x = 1 −1 y (E) Explain, please. http://kevinmehall.net/p/equationexplorer/ vectorfield.html#(x+y)i+(x-y)j%7C%5B-10,10,-10,10%5D Introduction to systems of equations • Which of the following equations matches the given direction field? (A) (B) (C) (D) ￿ x ￿ x ￿ x ￿ x ￿ ￿￿ ￿ −1 1 x = 11 y ￿ ￿￿ ￿ 1 −1 x = 11 y ￿ ￿￿ ￿ 11 x = −1 1 y ￿ ￿￿ ￿ 11 x = 1 −1 y (E) Explain, please. Check velocity at ￿￿ 1 . x= 0 http://kevinmehall.net/p/equationexplorer/ vectorfield.html#(x+y)i+(x-y)j%7C%5B-10,10,-10,10%5D Introduction to systems of equations • Which of the following equations matches the given direction field? (A) (B) (C) (D) ￿ x ￿ x ￿ x ￿ x ￿ ￿￿ ￿ −1 1 x = 11 y ￿ ￿￿ ￿ 1 −1 x = 11 y ￿ ￿￿ ￿ 11 x = −1 1 y ￿ ￿￿ ￿ 11 x = 1 −1 y (E) Explain, please. ￿￿ 0 Check velocity at x = . 1 Check velocity at ￿￿ 1 . x= 0 http://kevinmehall.net/p/equationexplorer/ vectorfield.html#(x+y)i+(x-y)j%7C%5B-10,10,-10,10%5D Introduction to systems of equations • You should see two “special” directions. • What are they? • Directions along which the velocity vector is parallel to the position vector. • That is, . Introduction to systems of equations • You should see two “special” directions. • What are they?...
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