# Determining the Surface Area of a Solid of Revolution - Page 2

Questions

- What is the surface area of the solid created by revolving #f(x) = (2x-9)^2 , x in [2,3]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = 2x^2-x+5 , x in [1,2]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = (3x-2)^2 , x in [1,2]# around the x axis?
- What is the surface area of the solid created by revolving #f(x)=e^(x^2-x)/(x+1)-e^x# over #x in [0,1]# around the x-axis?
- How do you find the area of the surface generated by rotating the curve about the y-axis #x=t^2, y=1/3t^3, 0<=t<=3#?
- How do you find the centroid of the quarter circle of radius 1 with center at the origin lying in the first quadrant?
- How do you find the area of the surface generated by rotating the curve about the y-axis #y=cx+d, a<=x<=b#?
- What is the surface area of the solid created by revolving #f(x)=-sqrtx/e^x# over #x in [0,1]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x) = (3x-1)^2 , x in [1,3]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) =x^3+6x , x in [2,5]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = 2x^2-6x+18 , x in [2,3]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = 1/x, x in [2,5]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = x^2-2x+15 , x in [2,3]# around the x axis?
- What is the surface area of the solid created by revolving #f(x)=1/x^2# for #x in [1,2]# around the x-axis?
- What is the surface area of the solid created by revolving #f(x) =2x^3-2x , x in [2,4]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = x^2-3x+2 , x in [3,4]# around the x axis?
- What is the area of the region in the first quadrant bounded on the left by the y-axis, below by the line y = x/4, above left by the curve y=1 + sqrt(x), and above right by the curve y=2\/sqrt(x)?
- What is the surface area of the solid created by revolving #f(x) = e^-x+e^(x) , x in [1,2]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) =e^(2-4x^2) , x in [1,3]# around the x axis?
- What is the surface area of the solid created by revolving #f(x) = xe^(2x) , x in [2,3]# around the x axis?