a. Show, by calculation, that (x + 2)e 5x = 1 has a root between x =

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a. Show, by calculation, that (x + 2)e5x = 1 has a root between x = 0 and x = −0.2.

b. Show, by sketching the graph of y = e5x and one other suitable graph, that this is the only root of this equation.

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