MATH 3220 § 1 | NINTH HOMEWORK ASSIGNMENT | Nov. 7, 2000 |

A. Treibergs | Due Nov. 14, 2000 |

- Please hand in the following exercises from the text "Introduction to Analysis, Second Edition" by William Wade, Prentice Hall 1999.
- 348[ 3c, 7, 9, 12 ]
- 358[ 1c, 3 ]
- Here are the equivalent exercises for those using the First Edition:
- 308[ 3c, 7, 9 ]
- 300[ 2 ]
- The time
`T`it takes for a pendulum to complete one full swing is given by`g`is the acceleration due to gravity and`L`is the length of the pendulum. If`g`can be measured within a maximum error of 1%, how accurately must`L`be measured (in terms of percentage error) so that the calculated value of`T`has a maxumum error of 2%? -
For the function
`f(u,v) = ( uv , u`, prove that^{2}+ v^{2})`f`exists and is differentiable in some open set containing^{-1}`(a,b) = (2,5)`, and compute`D(f`.^{-1})(a,b)