- Question 12 0 point Connecting the Communication Device With the communication device pointed toward your home planet, you realize, to your dismay, that the cords have been disconnected from the device. "Computer, how do I plug in these cables", you ask. Your computer responds that the directions (translated into mathematics) suggest that you order the cables from smallest to largest based on the below rules. Port 1 gets the smallest value and Port 3 gets the largest value, where it is assumed that c is a constant such that c > 1. f(x) = In (8x) g(x) = 5 sin (5x) Green Cord: 9 (8) (3) Blue Cord: f" (c) Red Cord: f'(c) Port 1 CLICK AND DRAG TO REARRANGE Port 2 Port 3 Red Cord: f'(c) Green Cord: 9 (8) (3) Blue Cord: f" (c) 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. Equation Editor a A-A-I BIUS Styles Font Size Problem 12: Higher Order Derivatives Determines the higher order derivatives of a function and is accurate in the explanation process Question 8 0 point The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to the area where your computer indicated the communication device was stored. You look past the gate hopefully, as your computer translates: The passcode for this gate is found by determining the domain of the derivative of f (x) and then evaluating 73 the derivative at x = - Enter the domain in interval notation. f(x)=8-74x. Domain of f'(x): f'(-7/24) 74 sin (a) ? a 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. D X 6 6 Q Q Equation Editor A-AI BI US x Styles Font Size Problem 8: Chain Rule for Radical Functions Determines the derivative of a function and is accurate in the explanation process