MATH 2202 Chapter 8-6: Sect. 8.6 Ratio Test, Root Test Problems Worked Out

Using the integral definition of the Laplace Transform, find L{f(t)} for f(t)= t for 0<t<2 and f(t)=e^5t for t>2. Be sure to specify any conditions on s.

Comparing Functions Winch of the following vector- valued functions represent the same graph?

(a) r(t)=(–3 cos t + l)i + (5 sin t + 2)j 4 + 4k

(b) r(t)=4i + (–3 cos t + l)j + (5 sin t + 2)k

(c) r(t)=(3 cos t– l)i + (–5 sin t –2)j + 4k

(d) r(t)=(–3 cos 2t + l)i + (5 sin 2t + 2)j + 4k