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
where 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 , u2+ v2) , prove that
and is differentiable
in some open set containing (a,b) = (2,5), and compute D(f-1)(a,b).