1. If y = log (x+(a +x) show that (a+x)yn+2 + (2n+1)xyn+1 + ny = 0...

Transcribed Image Text:

1. If y = log (x+(a +x) show that (a+x)yn+2 + (2n+1)xyn+1 + ny = 0 2. State and prove Lagrange's Mean Value theorem. lim a sin x-sin 2x 3. If x 0. is finite, find the value of a and the limit. tan x 4. Find asymptotes of (x-y) - 2(x+y) +x-1=0 (5. Find the radius of curvature at any point (x,y) for the curve x2/3 +y2/3=a sin bx 6. Prove that dx = (b>0) X 2 2/3 1. If y = log (x+(a +x) show that (a+x)yn+2 + (2n+1)xyn+1 + ny = 0 2. State and prove Lagrange's Mean Value theorem. lim a sin x-sin 2x 3. If x 0. is finite, find the value of a and the limit. tan x 4. Find asymptotes of (x-y) - 2(x+y) +x-1=0 (5. Find the radius of curvature at any point (x,y) for the curve x2/3 +y2/3=a sin bx 6. Prove that dx = (b>0) X 2 2/3