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Suppose f(x)=e^(a x)+e^(b x) , where a!=...

Suppose `f(x)=e^(a x)+e^(b x)` , where `a!=b` , and that `f"(x)-2f'(x)-15f(x)=0` for all `x` . Then the product `a b` is equal to 25 (b) 9 (c) `-15` (d) `-9`

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