The base of a circular fence with radius 10 m is given by x = 10 cos

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The base of a circular fence with radius 10 m is given by x = 10 cos t, y = 10 sin t. The height of the fence at position (x, y) is given by the function h(x, y) = 4 + 0.01(x2 - y2), so the height varies from 3 m to 5 m. Suppose that 1 L of paint covers 100 m2. Sketch the fence and determine how much paint you will need if you paint both sides of the fence.

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