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  3. 1. for z=x^2-xy^2 find: a. the gradient for z; b.

1. For z=x^2-xy^2 find: a. the gradient for z; b. the directional derivative in direction of <3,-1>; c.the...

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Basic Math

1. For z=x^2-xy^2 find:

a. the gradient for z;

b. the directional derivative in direction of <3,-1>;

c.the approximation for Δz when taking a Δs =0.05 step from(1,2) in direction of <3,-1>;

d. the approximation to the maximum Δz possible when taking a Δs=0.05 step from (1,2).

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