Let W be the region bounded by z=100−y^2, y=10x^2, and the plane z=0. Calculate the volume of W as a triple integral in the order dzdydx. (Give your answer in exact form. Use symbolic notation and fractions where needed.)

The volume is    

Step-by-step explanation:

From the question we are told that

      The region  bounded by  

       The z plane is  = 0

The volume of this region is mathematically evaluated as

Now we need to obtain a,b,c,d,e,f

      So from the question we are told that  

So

We also told on plane where the region is that z = 0  this implies that it an x-y plane so

 =>            

On the y- axis the  second equation bounding the region is  

So

Now the point where this two equation () intersect is

   mathematically represented as

So

Hence  a = - 1

             b =  1

              c =  

               d = 10

                 e= 0

                  f =

So

answer: x=3 and y=4

step-by-step explanation: