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Unformatted text preview: b = 1. 7. The sinh and cosh functions are used, for example, in electrical engineering, and are dened by sinh( x ) = ( e xex ) / 2 , and cosh( x ) = ( e x + ex ) / 2 . Do questions (a) and (b) above for the function h ( x ) = 2 sinh(3 x )4 cosh(3 x ) based at b = 0. 8. ind the 6 th degree Taylor polynomial for f ( x ) = sin(3 x5) based at b = 0, without diFerentiating. Hints: Change the base from b to 0 by substituting u = xb . Be sure that the terms in your answers are numbers (coecients) times powers of xb . Use the double angle formula in problem 2. Use partial fractions in problem 6. Use the addition formulae for sin( A B ) in problems 4 and 8. 1...
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 Spring '07
 Smith
 Taylor Series

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