Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y=x3/2, y=8, x=0y=x 3/2

Explanation has given in the attachmet.

Step-by-step explanation:

The definite integral that represent the volume of solid generated by revolving the plane region about    y axis.

Y = x3/2, y = 8, x =0

V= π (384 /7)

This is volume of solid by using shell method.

its totaly b

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answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33