Consider the equation f(x) = 0, on R, where f(x):= 7x + 2x - sinz -...

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Consider the equation f(x) = 0, on R, where f(x):= 7x³ + 2x - sinz - 1. (a) Prove that there is at least one solution to the equation. (b) Use the mean value theorem to prove that there is only one solution. Consider the equation f(x) = 0, on R, where f(x):= 7x³ + 2x - sinz - 1. (a) Prove that there is at least one solution to the equation. (b) Use the mean value theorem to prove that there is only one solution.