A point moves according to the law x + y =25. (a) Find dy. (b) Locate...

 

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A point moves according to the law x + y =25. (a) Find dy. (b) Locate the points on the curve where the slope is zero. (c) Locate the points on the curve where the slope is 1. (d) Find the equation of the tangents to the curve where the slope is 1. (e) Draw the curve and show the tangent line with slope equal to 1. A point moves according to the law x + y =25. (a) Find dy. (b) Locate the points on the curve where the slope is zero. (c) Locate the points on the curve where the slope is 1. (d) Find the equation of the tangents to the curve where the slope is 1. (e) Draw the curve and show the tangent line with slope equal to 1.