If `(x^(2))/(3)=x`, then `x=`

If x/((x-3)(x-2))=3/(x-3)+A/(x-2) , then A=

Find the derivative of x^(x^(2)-3)+(x-3)^(x^(2)), for x>3

Let Y=(log(x+1)(x^(2)-3x+2)x^(2))/((x-4)^(3)(x+5)(x-3)(x^(2)+2x+2)) then which of the following options is correct

If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x - 3, x^(2) + 4, 3x):}| = a_(0) + a_(1) x + a_(2) x^(2) + .... + x_(7) x^(7), then the value of a_(0) is

f(x) = sin^(-1)x+x^(2)-3x + (x^(3))/(3),x in[0,1]

f(x) = sin^(-1)x+x^(2)-3x + (x^(3))/(3),x in[0,1]