" (vii) "(3x^(2)-4x+5)/(sqrt(x))

Integrate each of the following functions w.r.t . X: (3x^(2)- 4x + 5)/(sqrt(5))

" (d) "y=sqrt(3x^(2)+4x+5)

int_(0)^(1)((3x^(2))/(sqrt(1-x^(6)))+(4x^(3))/(sqrt(1-x^(8)))+(5x^(4))/(sqrt(1-x^(10)))+...." to "n" terms ")dx=

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .

(3x+sqrt(9x^(2)-5))/(3x-sqrt(9x^(2)-5))=5

Which of the following expressions are polynomials ? In case of a polynomial write its degree. (i) x^(3)-5x+2 (ii) y^(2)+sqrt(2)y-sqrt(5) (iii) 2sqrt(x)+7 (iv) -6 (v) 4t^(2)+(1)/(6)t+2sqrt(3) (vi) z^(2)+(5)/(z^(2))+1 (vii) (1)/(3x) (viii) 1-sqrt(5x) (ix) (1)/(4x^(-2))+3x+5 (x) (6sqrt(x)+x^(3//2))/(sqrt(x))

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .