![If `Y = E^(Acos^(-1)X)`, -1 <= X <= 1 Show that `(1- X^2) (D^2y)/(Dx^2) -x Dy/Dx - A^2y = 0` - Mathematics | Shaalaa.com If `Y = E^(Acos^(-1)X)`, -1 <= X <= 1 Show that `(1- X^2) (D^2y)/(Dx^2) -x Dy/Dx - A^2y = 0` - Mathematics | Shaalaa.com](https://www.shaalaa.com/images/_4:2b8a9ab996e544248d893faf5aea718d.png)
If `Y = E^(Acos^(-1)X)`, -1 <= X <= 1 Show that `(1- X^2) (D^2y)/(Dx^2) -x Dy/Dx - A^2y = 0` - Mathematics | Shaalaa.com
![real analysis - The envelope for the extremals of $\cos((n+1) \arccos x)-\cos((n-1) \arccos x)$ forms an ellipse. - Mathematics Stack Exchange real analysis - The envelope for the extremals of $\cos((n+1) \arccos x)-\cos((n-1) \arccos x)$ forms an ellipse. - Mathematics Stack Exchange](https://i.stack.imgur.com/vZCTv.jpg)
real analysis - The envelope for the extremals of $\cos((n+1) \arccos x)-\cos((n-1) \arccos x)$ forms an ellipse. - Mathematics Stack Exchange
![SOLVED: Entered Answer Preview Result 0,5 2t) ' 0.5*(r^2)*[([(t^2)+2 *t]^0.5)-acos(1/(1+t))] 0.5r2 cos '(1+)) correct 1.41421*(r^2)*(t^0.5) 1.41421r2 (0. incorrect At least one of the answers above is NOT correct; point) Let be a semicircle SOLVED: Entered Answer Preview Result 0,5 2t) ' 0.5*(r^2)*[([(t^2)+2 *t]^0.5)-acos(1/(1+t))] 0.5r2 cos '(1+)) correct 1.41421*(r^2)*(t^0.5) 1.41421r2 (0. incorrect At least one of the answers above is NOT correct; point) Let be a semicircle](https://cdn.numerade.com/ask_images/4a18e87a268d4362835cf0989065520c.jpg)
SOLVED: Entered Answer Preview Result 0,5 2t) ' 0.5*(r^2)*[([(t^2)+2 *t]^0.5)-acos(1/(1+t))] 0.5r2 cos '(1+)) correct 1.41421*(r^2)*(t^0.5) 1.41421r2 (0. incorrect At least one of the answers above is NOT correct; point) Let be a semicircle
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