Chapter 7.3, Problem 78E

(a)

To determine

To evaluate: The value of $\coth 4$.

(b)

To determine

To evaluate: The value of ${\tanh }^{-1}2$.

(c)

To determine

To evaluate: The value of ${\mathrm{csch}}^{-1}\left(5\right)$.

(d)

To determine

To evaluate: The value of ${\mathrm{csch}\left(x\right)|}_{\frac{1}{2}}^2$.

(e)

To determine

To evaluate: The value of ${\ln \left|\tanh \left(\frac{x}{2}\right)\right||}_1^{10}$.

(f)

To determine

To evaluate: The value of ${{\tan }^{-1}\left(\sinh x\right)|}_{-3}^3$.

(g)

To determine

To evaluate: The value of ${\frac{1}{4}{\coth }^{-1}\left(\frac{x}{4}\right)|}_{20}^{36}$.