Find the area of the surface generated by rotating the curve x=1 + t^2, y =t from t = 0 to t= 4 about the x-axis can u show ur steps.... need to learn this for a test thankx
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Originally Posted by victorxz90044 Find the area of the surface generated by rotating the curve x=1 + t^2, y =t from t = 0 to t= 4 about the x-axis can u show ur steps.... need to learn this for a test thankx $\displaystyle A = \int_{t_1}^{t_2} 2\pi \cdot r(t) \cdot \sqrt{[x'(t)]^2 + [y'(t)]^2} \, \, dt $
May you please give a little detail.... thank you for answering
Originally Posted by victorxz90044 May you please give a little detail.... thank you for answering $\displaystyle r(t)$ = radius of revolution of the curve in terms of t $\displaystyle \sqrt{[x'(t)]^2 + [y'(t)]}$ ... you should know what this represents.
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