Question 10 0 point 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. In(x) f(x) = 3 V8x11 g(x) In(x) h(x) = ax ln(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. X G G G a == == Equation AAI BI US x Editor Styles Font Size Problem 10: Differentiating Exponential/Logarithmic Functions Determines the derivative of a function and is accurate in the explanation process Question 11 point Aiming the Communication Device You reach the communication device and are alerted by your computer that the communication device is , with the origin being where you located this device. The inhabitants of this planet did not want unwelcomed guests, so they made sure to guard the use of this device. Your computer helpfully generates a plot of this equation and tells you that it is a cardioid (whatever that means). The communication device can be taken to the very edge of the force field, but not beyond it. In fact, the only way to use the device is to align it tangent to the force field. Your computer also recovers some files that give points along the force field where the communication device can be used to communicate with different planets. Communication with your home planet can be achieved from the point on the force field, (4,0). If you provide your computer with the equation of the line that satisfies these conditions, you will be able to send a message to your home world. What equation do you provide your computer? surrounded by a force field that can be described by the equation, x + y = (1/1 y = ab a a a sin (a) Problem 11: Implicit Differentiation Determines the derivative of a function and is accurate in the explanation process 6- 5 y 4- 3- 2- 1 2 4 -1