pg. 731, #31 (routine)

Find the domain and the derivative of the vector function

Solution:

The ln(4 - t^2) component requires that we have t^2 < 4, which is the same as |t| < 2. The
sqrt(1+t) component requires 1 + t >= 0. So the domain is the set of t such that -1 <= t < 2.
The derivative is
.