If `y+(y^(3))/(3)+(Y^(5))/(5)+…infty=2(x+(x^(3))/(3)+(x^(5))/(5)+..infty)` , then

If y+(y^(3))/(3)+(y^(5))/(5)+…oo=2[x+(x^(3))/(5)+(x^(5))/(5)+…oo] then

If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))/(5) + ….oo))/((x + (x^(3))/(3) + (x^(5))/(5) + ……oo)) =

If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))/(5) + ….oo))/((x + (x^(3))/(3) + (x^(5))/(5) + ……oo)) =

y=1+x+(x^2)/(2!)+(x^3)/(3!)+.....infty ,then dy/dx=

If y= 1+x+ (x^(2)) /(2!) +(x^(3))/( 3!) +......infty ,then (dy)/(dx) =

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

The image of the line (x-1)/(3)=(y-3)/(1)=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line (1)(x+3)/(3)=(y-5)/(1)=(z-2)/(-5) (2) (x+3)/(-3)=(y-5)/(-1)=(z+2)/(5) (3) (x-3)/(3)=(y+5)/(1)=(z-2)/(-5) (3) (x-3)/(-3)=(y+5)/(-1)=(z-2)/(5)