The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You...

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The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope that the communication device is past this last wall. You notice that there are tiles on this gate that can be moved and sorted. Your computer translates the gate with the following: Order the tiles below from least to greatest. The smallest value must go to the left end and the largest value must go on the right end. Assume that a is a constant and that a > 1. Use the function definitions provided in organizing the tiles. f(x) = In(x) 32x5 g(x) In(x) h(x) = ax In(x) CLICK AND DRAG TO REARRANGE h' (1) f'(1) g'(1) Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team. The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope that the communication device is past this last wall. You notice that there are tiles on this gate that can be moved and sorted. Your computer translates the gate with the following: Order the tiles below from least to greatest. The smallest value must go to the left end and the largest value must go on the right end. Assume that a is a constant and that a > 1. Use the function definitions provided in organizing the tiles. f(x) = In(x) 32x5 g(x) In(x) h(x) = ax In(x) CLICK AND DRAG TO REARRANGE h' (1) f'(1) g'(1) Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team.