Learning Materials
Features
Discover
Chapter 11: Q2P (page 540)
Use the recursion relation (3.4), and if needed, equation (3.2) to simplify:
The value of is .
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Write the integral in equation (12.7) as an elliptic integral and show that (12.8)gives its value. Hints: Write and a similar equation for. Then make the change of variable.
Show that
(a)by using (9.5) and (9.2a) .
(b) by reducing it to a function and using (5.3) .
Use the recursion relation (3.4), and if needed, equation (3.2) to simplify:
The figure is part of a cycloid with parametric equations (The graph shown is like Figure 4.4 of Chapter 9 with the origin shifted to P2.) Show that the time for a particle to slide without friction along the curve from (x1, y1) to the origin is given by the differential equation for θ(t) is .
Hint: Show that the arc length element is . Evaluate the integral to show that the time is independent of the starting height y1 .
Prove equation (6.5).
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App