Consider the contour diagram for the function z f x y below 2 1 2...

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Calculus

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Consider the contour diagram for the function z f x y below 2 1 2 0 Z 0 1 O 1 only O II only O III only O 1 and II II and III Z 2 2 Au P 3 V Z 4 4 O 5 Z 6 6 X Based on the contour diagram which of the following statements are true 1 The directional derivative of fat Pin the direction of u is positive II The directional derivative of fat Pin the direction of v is positive III The directional derivative of fat Qin the direction of w is negative

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