8/7/2019 Assgnt2mth1212
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ENGINEERING CALCULUS II MTH 1212
Assignment 2
Question 1:
Find the area of the surface obtained by rotating the given curve about the x-axis
tx 4= ,2
3
2
1
3 t
ty += , 41 t
Question 2:
a) Identify the following curve by finding the corresponding Cartesian equation cos2sin2 +=r
b) Sketch the curve for cos31=r
Question 3:
Find the area of the region enclosed by one loop of the curve 3sin4=r
Question 4:
Find all points of intersection for the following two curves
2=r and 2cos2=r
Question 5:
Identify the type of conic section for the given equation and find the vertices and foci
044
22
=++ yxx
10,11,12,18,20,27,30,33,56,67,73,76,78,83,89,91,96
,97
27. 30