MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping
Menu
Grade: 12 
        
if x=2 cos t - cos 2t, y=2 sin t – sin 2t find d2y/dx2 at t=pi/2
5 years ago

Answers : (1)

View Solution
Rinkoo Gupta
askIITians Faculty
80 Points 
							dx/dt=-2sint+2sin2t
dy/dt=2cost-2cos2t
dy/dx=(dy/dt)/(dx/dt)=(cost-cos2t)/(-sint+sin2t)
dy/dx=2sin3t/2.sint/2/2cos3t/2sint/2
=tan3t/2
d2y/dx2=d/dx(dy/dx)
=d/dt(dy/dx).dt/dx
=(3/2).sec23t/2.1/(-2sint+2sin2t)
=3/4.1/cos2(3t/2).1/(sin2t-sint)
=3/4.1/cos2(3t/2).1/2cos3t/2.sint/2
=(3/8).1/(cos33t/2.sint/2
put t= pi/2
d2y/dx2=3/8. 1/(cos3(3pi/4).sin(pi/4))
=-3/2
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
5 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on Differential Calculus

Y= (1+x/1-x) 1/2 Prove that (1-x 2 )y n - [2(n-1)x +1 ]y n-1 - (n-1)(n-2)y n-2 =0 Answer & Earn Cool Goodies
Derivative of tan–1(x/(1+x 2 ) ½ )with respect to sin–1 (3x – 4x3) Answer & Earn Cool Goodies
pls answer the question................. and tell me that how rolle’s theorem is applied here????
Xy^2(1+x^2) dy+(1+y^2) x=0 Find its differential equation by variable separation method.
24th question in the attachment.......... ......................................
View all Questions »


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers To Win!!! Click Here for details