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julia-pushkina [17]
3 years ago
8

The region bounded by y = e−x2, y = 0, x = 0, and x = b (b > 0) is revolved about the y-axis. (Round your answers to three de

cimal places.) (a) Find the volume of the solid generated when b = 2.

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

0.982 * \pi  = 3.085 cubic units

Step-by-step explanation:

To find the volume of the solid generated by a region that is bounded by lines where x = 0 , x (b) = 2 we apply the formula given in the attachment below  

the required region boundaries are

y = e^-x2 , y = 0 ,  x = 0,  x = b ( b >0)

attached below is a detailed solution of the problem

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