(a) Use the addition formulas for sinh x and cosh x to prove (b) Use (a) to...

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(a) Use the addition formulas for sinh x and cosh x to prove

tanh(u+v) = tanh u + tanh v 1+tanh u tanh v

(b) Use (a) to show that Einstein’s Law of Velocity Addition [Eq. (2)] is equivalent to

W' = u + v UV C2 1 +

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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