" 13."2x^(2)-(5)/(6)x+(1)/(12)

((5x+2)^(2)+(5x-2)^(2))/((5x+2)^(2)-(5x-2)^(2))=(13)/(12) then find x

Simplify: ((3)/(11)x(5)/(6))-((9)/(12)x(4)/(3))+((5)/(13)x(6)/(15))

Add the algebraic expressions: (11)/(2)xy+(12)/(5)y+(13)/(7)x,-(11)/(2)y-(12)/(5)x-13xy

Simplify: ((3)/(2)x(1)/(6))+((5)/(3)x(7)/(2))-((13)/(8)x(4)/(3))

If (1+x-2x^(2))^(6) = 1 + a_(1)x+a_(2)x^(2) + "……" + a_(12)x^(12) , then find the value of a_(2) + a_(4) +a_(6)+ "……" + a_(12) .

The value of a for which (13x-1)^(2)+(13y-2)^(2)=(a^(2)-1)(5x+12y-1)^(2) repesents an ellipse is

If f(x)=int_(1)^(x^(3))(dt)/(1+t^(4)), then f'(x) is equal (6x((1-5x^(2))^(12)))/((1+x^(12))^(12))) (ii) (6x((1+5x^(2))^(12)))/((1+x^(12))^(2))( (iii) -(6x((1-5x^(2))^(12)))/((1+x^(12))^(2)) (iv) none of these

int sqrt(x)(1+x^(1/3))^(4)dx is equal to (A) 2{(1)/(9)x^(2/3)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6) (B) 6{(1)/(9)x^(2/3)-(4)/(11)x^(11/6)+(6)/(13)x^(13/6) (C) 6{(1)/(9)x^(3/2)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6)+(4/15)x^(5/2)+(1/17)x^(17/6) (D) 6{(1)/(9)x^(2/3)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6)

If (1+x-2x^(2))^(6)=1+a_(1)x+a_(2)x^(12)+...+a_(12)x^(12) then find the value of a_(2)+a_(4)+a_(6)+...+a_(12)