[" (ii) "s-t=3],[(s)/(3)+(t)/(2)=6],[" (iv) "0.2x+0.3y=1.3]

Solve the following pair of linear equations by the substitution method. (i) x+y=14 ;x- y=4 (ii) s-t=3; s/3+t/2=6 (iii) 3x-y=3;9x-3y=9 (iv) 0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3 (v) sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0 (vi) 3x/2-5y/2=-2;x/3+y/2=13/6

Solve the following pair of linear equations by the substitution method. (i) x+y=14 ;x- y=4 (ii) s-t=3; s/3+t/2=6 (iii) 3x-y=3;9x-3y=9 (iv) 0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3 (v) sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0 (vi)3x/2-5y/2=-2;x/3+y/2=13/6

t^(3)+t^(2)+t+6=0

Find p(0), p(1) and p(2) for each of the following polynomials : (i) p(y)=y^(2)-y+1 (ii) p(t)=2+t+2t^(2)-t^(3) (iii) p(x)=x^(3) (iv) p(x)=(x-1)(x+1)

Find the equations of the tangent and normal to the given curves at the indicated points: (i) y=x^4-6x^3+13 x^2-10 x+5 at (0," "5) (ii) y=x^4-6x^3+13 x^2-10 x+5 at (1," "3) (iii) y=x^3 at (1," "1) (iv) y=x^2 at (0," "0) (v) x" "=" cos t ,y=sin t ""at "" t=pi/4

Find the equations of the tangent and normal to the given curves at the indicatedpoints:(i) y=x^4-6x^3+13 x^2-10 x+5 at (0, 5) (ii) y=x^4-6x^3+13 x^2-10 x+5 at (1, 3) (iii) y=x^3 at (1, 1) (iv) y=x^2 at (0, 0) (v) x = cos t ,y=sin t at t=pi/4

Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(y)=y^2-y+1 (ii) p(t)=2+t+2t^2-t^3 (iii) p(x)=x^3 (iv) p(x)=(x-1)(x+1)

Find p(0), p(1) and p(2) for each of the following polynomials : (i) p(y) =y^2-y+1 (ii) p(t) = 2+t+2t^2+t^3 (iii) p(x) = x^3 (iv) p(x) = (x-1) (x+1)

If s=(t^(3))/(3)-(1)/(2)t^(2)-6t+5 , Find the value of (d^(2)s)/(dt^(2)) at t=1

If s=(t^(3))/(3)-(1)/(2)t^(2)-6t+5 , Find the value of (d^(2)s)/(dt^(2)) at t=1