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Consider f(x, y) a real-valued function of two variables, and F(x, y) = P(x, y)i+Q(x,y)5 a vector field. For each of the following quantities,

Consider f(x, y) a real-valued function of two variables, and F(x, y) = P(x, y)i+Q(x,y)5 a vector field. For each of the following quantities, say if it is well-defined or not. If not, say why. If yes, say what type of object it is: a vector field, a real-valued function of two variables, or something else (e.g. a real-valued function of one variable"). 1. VQ(x, y) 2. VF(r, y) 3. f(x, y)7 4. F(x, y)i 5. F(x, y) - 7 af (x, y)i+ af (x, y)j. 6. he 7. |F(r, )| 8. F(2,3) 9. f(2, y) 10. |F(x,3) J].

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