If `y=(x+3)^(2)(x+4)^(3)(x+5)^(4)

Consider the system of equations x_1+x_(2)^(2)+x_(3)^(3)+x_(4)^(4)+x_(5)^(5)=5 and x_1+2x_2+3x_3+4x_4+5x_5=15 where x_1,x_2,x_3,x_4,x_5 are positive real numbers. Then numbers of (x_1,x_2,x_3,x_4,x_5) is ___________.

If |x|lt1 and y=x-(x^(2))/(2)+(x^(3))/(3)-(x^(4))/(4)+... , then x =

The latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2)

Solve for (x - 1)^(2) and (y + 3)^(2) , 2x^(2) - 5y^(2) - x - 27y - 26 = 3(x + y + 5) and 4x^(2) - 3y^(2) - 2xy + 2x - 32y - 16 = (x - y + 4)^(2) .

If f(x)=(x^(2))/(1.2)-(x^(3))/(2.3)+(x^(4))/(3.4)-(x^(5))/(4.5)+..oo then

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

Find the following products: (i) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)

Find the following products: (i) (x+2)(x+3) (ii) (x+7)(x-2) (iii) y-4)(y-3) (iv) (y-7)(y+3) (vi) (2x-3)(2x+5) (vii) (3x+4)(3x-5)

Evaluate differentiation of y with respect to x : y=x^(3)+(4)/(3)x^(2)-5x+1

The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/(y(y^(2)+3x^(2)))=0 is (a) x^(4)+y^(4)+x^(2)y^(2)=c (b) x^(4)+y^(4)+3x^(2)y^(2)=c (c) x^(4)+y^(4)+6x^(2)y^(2)=c (d) x^(4)+y^(4)+9x^(2)y^(2)=c