Explore BrainMass
Share

Explore BrainMass

    Hyperbolic Functions : Numerical Values (11 Problems), Limits (9 Problems) and Derivatives (12 Problems)

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the numerical version of each expression

    1) sinh 0
    2) cosh 0
    3) tanh 0
    4) tanh1
    5) sinh1
    6) cosh1
    7) sech 0
    8) sinh(ln 2)
    9) cosh(ln3)
    10) cosh^-1 1
    11) sinh^-1 1

    Use definitions of hyperbolic functions to find each.

    1) lim as x approached infinity tanh x
    2) lim as x approached infinity sinh x
    3) lim as x approached infinity sech x
    4) lim as x approached infinity coth x
    5) lim as x approached - infinity csch x
    6) lim as x approached - infinity sinh x
    7) lim as x approached - infinity tanh x
    8) lim as x approached 0+ coth x
    9) lim as x approached 0- coth x

    Find the derivative

    1) f(x)= tanh 4x
    2) f(x)=xcoshx
    3) h(x)=sinh(x^2)
    4) g(x) = (1-cosh x) / (1+cosh x)
    5) h(t) = coth(SQRT 1+t^2)
    6) h(t)=tanh(e^t)
    7) y=e^(cosh(3x))
    8) y=tanh^-1 * (SQRT x)
    9) f(t)=ln(sinh t)
    10) f(x) = sinh x * (tanh x)
    11) y=sinh(cosh x)
    12) y=x tanh^-1 * (x) + ln(SQRT(1-x^2))
    ---

    © BrainMass Inc. brainmass.com October 9, 2019, 5:39 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/hyperbolic-functions-numerical-values-11-problems-limits-9-problems-and-derivatives-12-problems-63469

    Attachments

    Solution Preview

    Hello and thank you for posting your question to Brainmass!

    The solution ...

    Solution Summary

    Thirty-two hyperbola problems are solved. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.[Editors Note: This is one of the best hyperbolic functions solution that h ave seen.]

    $2.19