8/7/2019 Assgnt2mth1212

1/1

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