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Given z=x 2 +y 2 and z=x 2 +y 2 The point (1,0,1) lies on both surfaces. Use directional derivatives to find the direction of

Given z=x2+y2 and z=x2+y2

The point (1,0,1) lies on both surfaces. Use directional derivatives to find the direction of greatest increase at this point on each surface and find the magnitude of the directional derivative in that direction. Treat as 2 variable function so f(x,y,z) should not be used.

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