Homework 6, C&D

Due Wednesday August 18

Exercise 1

Solve problems 26, 30, 34 and 40 in E&P section 10.3 (pp. 587)

Exercise 2

Solve problem 42 in E&P section 10.3 (pp 587).

Exercise 3

Solve problems 8, 16 and 18 in E&P section 10.4 (pp 594)

Exercise 4

Consider the following parametric curves: C1 is given by (x(t)=t, y(t)=1/t) 0 < t < 1. And C2 is given by (x(t) = cos t, y(t) = sec t ) 0 < t < pi/2. Sketch the graph of these curves. Note that they are different as parametric curves, but what can you say about the graph?... what is the exact difference between these to curves geometrically? (By this I mean, suppose t is the time, how is the point x(t),y(t) moving along the curve in each case?).

Exercise 5

Solve Problem 32 and 36 of E&P section 10.5 (pp. 603)

Exercise 6

Practice all you can on computing integrals, in any set of coordinates, try to compute areas bounded by curves in polar coordinates and cartesian coordinates and check that you get the same answer. Since you're such a nice group of students Jose and I will trust that you solved this problem with maximum score.

Enjoy the weekend...

Reimundo Heluani

Last modified: Tue Aug 10 11:01:42 EDT 2004