The following write-ups are due Monday May 8.

Monday May 1
Solve, write up and turn in:
Sec. 20.6:  3, 9, 13

Tuesday May 2

1. Find the volume of the region in Example 2 Sec. 20.7 and find z.

Solve, write up and turn in:
Sec. 20.7: 1, 2, 3, 5

Wednesday  May 3

Solve, write up and turn in:
Sec. 20.7: 11, 12, 19, 21

Thursday  May 4

Sec. 20.8 Read the text of Examples 1 and 2, solve then check your solutions.

Solve, write up and turn in:
Sec. 20.8: Set up double integrals to calculate the areas: 1, 3, 5

Friday  May 5

Denote by r the position vector r=(x,y,z)=xi+yj+zk.
Area of a surface given parametrically by r=r
(t,s) with (t,s) in D is
the double integral on D of   dS=| rt x rs | dt ds.

Solve, write up and turn in:

1.
Consider the surface given parametrically by
x=t cos( theta),  y=t sin(theta), z=theta
for    0 <t < a , 0<theta<2Pi
a.
Calculate the area of this surface.
b.
Sketch the surface.

2.
Consider the cone z=sqrt(x^2+y^2) for  x^2+y^2<4.
Set up the integral (2) page 745 to calculate the area of this surface.
Is it correct to use this formula? Explain.
How can we avoid the difficulty?