Chapter 1.1, Problem 61E

To determine

(a)

To find:

whether the function $f\left(t\right)=\frac{1}{t^4+t+1}-\frac{1}{t^4-t+1}$ is even, odd or neither.

To determine

(b)

To find:

whether the function $g\left(t\right)=2^t-2^{-t}$ is even, odd or neither.

To determine

(c)

To find:

Whether the function $G\left(\theta \right)=\sin \theta +\cos \theta$ is even, odd or neither.

To determine

(d)

To find:

Whether the function $H\left(\theta \right)=\sin \left({\theta }^2\right)$ is even, odd or neither.