(a) From the definition of the hyperbolic sine function prove (b) Sketch the graph of y =...

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(a) From the definition of the hyperbolic sine function prove

sinh 3x = 3 sinh x + 4 sinh x

(b) Sketch the graph of y = x3 + x carefully, and show that for each value of y there is exactly one value of x. Setting z = 1/2x√3, show that

42 + 3z = and using (a), deduce that 2 X = 33 2 -sinh  sinh 3 3 3-3 2

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