(a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh 4x+ pcosh 2x + q where p and q are constants to be determined. (b) Hence, or otherwise, solve the equation cosh 4x – 17 cosh 2.x + 9 = 0 giving your answers in exact simplified form in terms of natural logarithms.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
icon
Related questions
Question
(a) Use the definitions of hyperbolic functions in terms of exponentials to prove that
8 cosh'x cosh 4x+ pcosh 2x + q
where p and q are constants to be determined.
(b) Hence, or otherwise, solve the equation
cosh 4x – 17 cosh 2.x + 9 0
giving your answers in exact simplified form in terms of natural logarithms.
Transcribed Image Text:(a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh 4x+ pcosh 2x + q where p and q are constants to be determined. (b) Hence, or otherwise, solve the equation cosh 4x – 17 cosh 2.x + 9 0 giving your answers in exact simplified form in terms of natural logarithms.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax