Hyperbolic Functions Review

Vocabulary and essential formulas from the Hyperbolic Quiz overview, focusing on graph properties, integration techniques, and power series.

Hyperbolic Quiz Scoring

A 50-point assessment falling under the Exam & Quiz category.

Hyperbolic Identity Derivation

The process of proving or deriving identities using the exponential definitions of hyperbolic functions.

Hyperbolic Integration Methods

Techniques used for solving integrals involving hyperbolic functions, specifically u-Substitution and Integration by Parts.

Final Form for Hyperbolic Calculus

Answers for derivatives and integrals should be left in terms of hyperbolic functions rather than being converted to terms of $e$.

Series Analysis Tasks

Building series from known series and finding the Radius and/or Interval of Convergence.

Maclaurin Series for $\cosh(x)$

$$1 + \frac{x^2}{2!} + \frac{x^4}{4!} + \frac{x^6}{6!} + \dots + \frac{x^{2n}}{(2n)!} + \dots$$

Maclaurin Series for $\sinh(x)$

$$x + \frac{x^3}{3!} + \frac{x^5}{5!} + \frac{x^7}{7!} + \dots + \frac{x^{2n+1}}{(2n+1)!} + \dots$$

Hyperbolic Function Graphs

Visual representations including $y = \sinh(x)$, $y = \cosh(x)$, $y = \tanh(x)$, $y = \coth(x)$, $y = \text{sech}(x)$, and $y = \text{csch}(x)$, which should be analyzed for being odd, even, or neither.

Inverse Hyperbolic Function Graphs

Visual representations including $y = \sinh^{-1}(x)$, $y = \cosh^{-1}(x)$, $y = \tanh^{-1}(x)$, $y = \coth^{-1}(x)$, $y = \text{sech}^{-1}(x)$, and $y = \text{csch}^{-1}(x)$, which are tested for odd/even properties.