1 MA211 Short Test 1 Semester 1, 2017 ______________________________________________________________________________ MA211: Advanced Calculus Test 1 –Semester 1, 2017___________________________________________________________________ Time Allowed: 50 minutes Total Marks: 30 INSTRUCTIONS: 1.There are 2 questions and ALL are compulsory. Start each question on a new page. 2.There are two (2) pages (including this cover page) in this test paper. 3.Marks for each question are as indicates. 4.Show all necessary working. Partial marks will be awarded for partially correct answers. ___________________________________________________________________ Question 1: (6 + 3 + 3 = 12 marks) a)Find the area that is inside 42cosrand outside 62cosr. Solution:Step 1: Sketch of the graph of the region we are interested in.