Find the area of the surface generated by revolving x=e t cost, y=e t sin t, 0t/2

Find the area of the surface generated by revolving x=e^t cost, y=e^t sin t, 0≤t≤π/2 above the x-axis. 

where, ds=√(dx/dt)2+(dy/dt)2 dt

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Find the area of the surface generated by revolving a = e' cos t, y= e' sin t, 0 <t < above the -axis. Surface Area of Solid of Revolution Obtained from a Parametric curve: Consider a parametric curve defined by the equations a = f(t) and y = 9(t) in the interval t e [a, b). If this curve is revolved around the x-axis, then the surface area of the solid of revolution obtained, will be given by Surface Area 2ny ds %3| Find the area of the surface generated by revolving a = e' cos t, y= e' sin t, 0 <t < above the -axis. Surface Area of Solid of Revolution Obtained from a Parametric curve: Consider a parametric curve defined by the equations a = f(t) and y = 9(t) in the interval t e [a, b). If this curve is revolved around the x-axis, then the surface area of the solid of revolution obtained, will be given by Surface Area 2ny ds %3|

Answer rating: 100% (QA)

Solution we have xe cat y esint osts Revolution S Sarface ... View the full answer