Question: The surface of a machine part is the region between the graphs of y 1 = |x| and y = 0.08x + k (see figure).

The surface of a machine part is the region between the graphs of y1 = |x| and y₂ = 0.08x² + k (see figure).

y 1/ Y X

(a) Find k where the parabola is tangent to the graph of y1.
(b) Find the area of the surface of the machine part.

y 1/ Y X

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