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    				| 1. | which of the following is true for x in [0,1]? | 
| Answer» `sin^(-1)x+x^(2)-x(9-x^(2))/(3)le0` `THEREFORE f(X)=(1)/sqrt(1-x^(2))+2x-3+x^(2)` Thus f(X)=0 for some x=`x_(1) in (0,1)`   `f(x)=(x)/(1-x^(2))^(3//2)+2+2xgt 0 forall x in (0,1)` Thus x=`x_(1)`is the point of MINIMUM f(0)=0,f(1)=`pi//2-5//3lt0` f(X) is global maxima `forall x in [0,1]`.Thus `f(X)lef(X)XIN [0,1]or sin ^(-1)x+x^(2)-3x+x^(3)//3le0` or `sin^(-1)x+x^(2)LEX(9-x^(2))/(3)forall x in [0,1]` | |