Home
Class 12
MATHS
If x=a(cos t+t sin t) and y=a(sin t-t co...

If `x=a(cos t+t sin t)` and `y=a(sin t-t cos t)`, find `(d^2y)/(dx^2)`

Text Solution

Verified by Experts

The correct Answer is:
` ( sec^(3) t)/( at) `
Promotional Banner

Similar Questions

Explore conceptually related problems

If x = 2 cos t - cos 2 t and y =2 sin t - sin 2t, then (dy)/(dx) at t = (pi)/(2) is

If x = sin t and y = tan t , then (dy)/(dx) is equal to a) cos ^(2) t b) (1)/( cos ^(3) t ) c) (1)/( cos ^(2) t ) d) sin ^(2) t

Find dy/dx if x=a(cost+logtan(t//2)) and y=a sin t

Find dy/dx if x=a(t-sin t) , y=a(1-cost) .

Choose the correct answer from the bracket. If x=sin t and y= cos t, then dy/dx is equal to ....

a) Find (dy/dx) if i) y=sin (x^3+7) ii) x=a(t-sin t), y=a(1-cos t) b) If y=a cos (log x)+b sin (log x) Prove that x^2 (d^2 y)/(d x^2)+x (dy/dx)+y=0

If x = ( 3t)/( 1 + t ^(3)) and y = ( 3 t ^(2))/( 1 +t ^(3)), then (dy)/(dx) at t =1 equals