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)=ln(4x)
g(x)=3sin(5x)
Blue Cord: f′′(c)
Red Cord: f′(c)
Green Cord: g(8)(3π)
CLICK AND DRAG TO REARRANGE
Port 1 Port 2 Port 3
Blue Cord: f′′(c)
Red Cord: f′(c)
Green Cord: g(8)(3π)
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.
