No matter where you are on a plane, the slope in a given direction should be the same. Answer each of the following given that you are somewhere on the plane z = 7x - 3y + 10. (a) Find the direction in which the slope is greatest. (b) Find a direction in which the slope is zero. (c) Find the slope in the direction 20° west of north (i.e., 20° counterclockwise from the positive y-axis). Give an approximate answer accurate to the nearest tenth.

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