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Follow the steps to compute the volume of the solid obtained by rotating the region bounded by

x=0,quad y=1,quad" and "quad x=y^(7)
about the line 
y=1 using the method of disks or washers.
a. Using the method of disks or washers, set up the integral.

V=int_(a)^(b)
with 
a=
and 
b=

Follow the steps to compute the volume of the solid obtained by rotating the region bounded by\newlinex=0,y=1, and x=y7 x=0, \quad y=1, \quad \text { and } \quad x=y^{7} \newlineabout the line y=1 y=1 using the method of disks or washers.\newlinea. Using the method of disks or washers, set up the integral.\newlineV=ab V=\int_{a}^{b} \newlinewith a= a= \newlineand b= b=

Full solution

Q. Follow the steps to compute the volume of the solid obtained by rotating the region bounded by\newlinex=0,y=1, and x=y7 x=0, \quad y=1, \quad \text { and } \quad x=y^{7} \newlineabout the line y=1 y=1 using the method of disks or washers.\newlinea. Using the method of disks or washers, set up the integral.\newlineV=ab V=\int_{a}^{b} \newlinewith a= a= \newlineand b= b=
  1. Identify total amount: Identify the total amount of electrical tape needed and the amount of tape on each roll.\newlineTotal amount of electrical tape needed: 8,000cm8,000\,\text{cm}\newlineAmount of tape on each roll: 2,000cm2,000\,\text{cm}\newlineTo find the number of rolls needed, we will divide the total amount of tape by the amount of tape on each roll.
  2. Perform division: Perform the division to determine the number of rolls.\newlineNumber of rolls needed =Total amount of tape neededAmount of tape on each roll= \frac{\text{Total amount of tape needed}}{\text{Amount of tape on each roll}}\newlineNumber of rolls needed =8,000cm2,000cm= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm}}\newlineNumber of rolls needed =4= 4

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