This lesson explores what the hyperbolic trig functions are, the various ways to write them, and how to identify them using graphs. Related to this Question Simplify the expressions. (a) cosh x + sinh x. (b) cosh x - sinh x. (c) sinh (ln x). (d) cosh (ln x). ...
This study presents the applications of the extended rational sine-cosine/sinh-cosh schemes to the Klein-Gordon-Zakharov equations and the (2+1)-dimensional Maccari system. Various wave solutions such as singular periodic, periodic wave, topological, topological kink-type, dark and singular soliton...
This lesson explores what the hyperbolic trig functions are, the various ways to write them, and how to identify them using graphs. Related to this Question Find the logarithm. ln (4.70 x e^5). (Round to four decimal places as needed)...
This lesson explores what the hyperbolic trig functions are, the various ways to write them, and how to identify them using graphs. Related to this QuestionEvaluate the following function. If the value is not a rational number, round...
where b y = b ( y ; α , μ , σ ) = ( 2 / α ) sinh ( ( y − μ ) / σ ) , B y = B ( y ; α , μ , σ ) = σ − 1 ( 2 / α ) cosh ( ( y − μ ) / σ ) , α > 0 is the shape parameter, μ is a location parameter, and σ > 0 is...
where 𝑏𝑦=𝑏(𝑦;𝛼,𝜇,𝜎)=(2/𝛼)sinh((𝑦−𝜇)/𝜎), 𝐵𝑦=𝐵(𝑦;𝛼,𝜇,𝜎)=𝜎−1(2/𝛼)cosh((𝑦−𝜇)/𝜎), 𝛼>0 is the shape parameter, 𝜇 is a location parameter, and 𝜎>0 is a scale parameter. We use the notation 𝑌∼SH...
17K This lesson explores what the hyperbolic trig functions are, the various ways to write them, and how to identify them using graphs. Related to this QuestionUsing the definitions of sinh x and cosh x, prove that: cosh(2x) = 1 + 2sinh^2(x)....
This lesson explores what the hyperbolic trig functions are, the various ways to write them, and how to identify them using graphs. Related to this Question Prove that cosh 2x = cosh^2 x + sinh^2 x. Prove that \cosh x - \sinh x = e^x. ...