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The Gradient

Figure 1 above displays a set of curves, (in other words, contour curves for some function ).

Problem 17:

At each of the points A, B, and C, draw a vector in the direction of at that point. (At each point, with the left mouse button depressed, use the mouse to draw an arrow. Then click on "Answers" to see the correct answers.)

Answer

Problem 18:

At which of the points does have the largest value? Explain. (HINT: Read carefully the definition of the gradient.)

Answer

Problem 19:

If you had an explicit expression for , how would you answer the previous two questions?

Answer

 
 
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