Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

secondary 4 | A Maths
One Answer Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
Irah Athirah
Irah Athirah

secondary 4 chevron_right A Maths chevron_right Singapore

Hi, can someone help me with this question? Thank you so much!

Date Posted: 3 years ago
Views: 305

See 1 Answer

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Ignatius Yeo
Ignatius Yeo's answer
36 answers (Tutor Details)
1st
For part b, apply first derivative test. First, find out where the stationary points are. Stationary point occurs when dy/dx=0. In this case, x=0, π, 2π are stationary points of curve y. Within the range between 0 and π, substitute any values into the domain of dy/dx, dy/dx is more than 0. When dy/dx is more than 0, y is increasing. Do the same for the range between π and 2π, dy/dx is negative except when x=3/2π. With this reasoning, hence, y is decreasing from π to 2π EXCEPT at 3/2π. In other words, from π to 2π but not including 3/2π. At 3/2π, there is an asymptote but I will not explain further as it is not in your syllabus. You may also apply second derivative test, but it is tedious at this level.