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As you enter the spacecraft, you look to connect your computer. To your dismay, the controls are also password protected. Your computer helpfully translates the

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As you enter the spacecraft, you look to connect your computer. To your dismay, the controls are also password protected. Your computer helpfully translates the prompt and notifies you that a three-digit number is needed. Your computer is able to determine the algorithm for determining each number, along with some password hints. The computer displays the below information: Password Hints: 10 S f(z) da - 4 10 S g(x) dx - 16 Sg(x) dx = 8 -7 10 First Number: S (4 f (x) - 29(x)) da. - 7 S (4f (z) - 29(2)) dz + f f(x) da 10 Second Number: 10 10 10 Third Number: J 29 (x) dz First Number Second Number Third Number Number Number Number Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain

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