Problem 46E

a A model for the shape of a birds egg is obtained by rotating about the x-axis the region under the graph of f(x)=(ax3+bx2+cx+d)1×2 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.

Step-by-Step Solution