(a) A model for the shape of a birds egg is obtained by rotating about the x-axis...

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(a) A model for the shape of a bird’s egg is obtained by rotating about the x-axis the region under the graph off(x) = (ax³ + bx² + cx + d)/1 – x²

Use a CAS to find the volume of such an egg.


(b) For a red-throated loon, a = -0.06, b = 0.04, c = 0.1, and d = 0.54. Graph f and find the volume of an egg of this species.

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