MA211 Assignment 1 Solution Semester 1 2017 - School of...

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1 | P a g e M A 2 1 1 A s s i g n m e n t 1 S o l u t i o n S e m e s t e r 1 2 0 1 7School of Computing, Information and Mathematical Sciences ______________________________________________________________________ MA211 Advanced Calculus Semester 1, 2017 _____________________________________________________________________________________ Assignment 1: Due date: 17/03/2017 (Week 6 Friday) at 5:00pm INSTRUCTIONS 1.All questions are compulsory. Show all relevant working. 2.This assignment should be done in groups of 1 to 4 students. You can form your own group and assign a group leader. Your assignment will not be marked if your group has more than 4 students. 3.You can type your answers on MS word or hand-written answers. The name and ID number of all group members must be written on the cover sheet. The group leader should hand in the assignment solution before the due date and time. _____________________________________________________________________________________ Question 1: a)Convert the following equation into an equation in terms of Cartesian coordinates. 2sinsecr
b)Sketch the graph of the following polar equation. 49sinr
r( ,)r
2 | P a g e M A 2 1 1 A s s i g n m e n t 1 S o l u t i o n S e m e s t e r 1 2 0 1 70 23224541344,05,2(4,)313,2(4,2 )So here is the graph of this function. c)Find the area that is inside 42cosrand outside62cosr.
3 | P a g e M A 2 1 1 A s s i g n m e n t 1 S o l u t i o n S e m e s t e r 1 2 0 1 7
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