Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about the y-axis. y = 13 e**(-x**2) text(, ) y = 0 text(, ) x = 0 text(, ) x = 1 v = sketch the region and a typical shell. (do this on paper. your instructor may ask you to turn in this sketch.)

As per the given statement:

The region bounded by the given curves about the y-axis, , y=0, x = 0 and x = 1

Using cylindrical shell method:

The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;

  where

where x is the radius of the cylinder

f(x) is the height of the cylinder.

From the given figure:

radius = x

height(h) =f(x) =y=

a = 0 and b = 1

So, the volume V generated by rotating the given region:

therefore, the volume of V generated by rotating the given region is

step-by-step explanation:

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answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.