Posted by Anonymous on Monday, February 13, 2012 at 10:18am.
Find the surface area of the solid generated by rotating the area between the yaxis, (x^2/y) + y = 1, and 1≤y≤0 is rotated around the yaxis.

calculus  Anonymous, Monday, February 13, 2012 at 11:10am
you have a circle:
x^2 + (y1/2)^2 = 1/4
except that as originally written, y cannot be zero.
Now, since the range of y is (0,1], there is no part of the graph below the xaxis. Note that any y < 0 will produce a value such that (y1/2)^2 > 1/4. That means that x^2 must be negative.
Is this a trick question?
If there's a typo, and you want 0<y<=1, then you are just rotating a semicircle of radius 1/2, whioch will give you a sphere.
Answer This Question
Related Questions
 Calculus  The graph of the curve y2=10 x+10 is a parabola, symmetric with ...
 Calculus  Find the volume generated by rotating about the x axis the area ...
 calculus II SURFACE AREA Integration  Find the exact area of the surface ...
 calculus  The given curve is rotated about the yaxis. Find the area of the ...
 Math  Find the area of the surface generated by revolving the curve y = (x + 3...
 Calculus AP  Let R be the region in the first quadrant bounded by the graph y=3...
 Calc  Set up and evaluate the definite integral for the area of the surface ...
 calculus  Find the surface area generated when y = (x^3/12) + (1/x), from x=1 ...
 asdf  Find a definite integral indicating the area of the surface generated by ...
 Calculus  Find the volume of the solid generated by rotating the region above...
More Related Questions