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y = sin(x) - cos(x) x is between 0 and 2pi.

Find the equation of the normal to the curve y = tan(x) at the point (pi /3, √3). Thanks.

On a topographic map, contour lines join points of equal altitude. Following a contour means you don't go up or down in elevation. The steepest incline / decline is perpendicular to the countours. Suppose I want to know what direction to climb up a mountain (I am in a mountainous region). I...