18. Create the equation of a function whose rate of change is always negative, but isincreasing as the value of x increases (as the graph moves left to right). Sketch a quickgraph of the function, as well as stating it's equation.

Rate of change i.e. derivative is negative. A function with neg. Derivative is a decreasing…

Answered: 18. Create the equation of a function…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. When you swim underwater, the pressure in your ears depends on the depth at which you are swimming. The formula p=0.43d relates the water pressure p, in pounds per square feet, to a depth of d feet. We can use this linear function to determine the pressure in your ears at a different depths. (a) If your depth is doubled, how did the pressure change? (b) Fill in the blank: i. If the depth is increasing, the pressure is ii. If the depth is decreasing, the pressure is
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Extra Problem: A sprinter runs the 100-yard dash in 10 seconds in the following fashion. She starts at rest (0 velocity), and for the first 6 seconds she speeds up to her highest speed. Unable to maintain that speed, she is slowing down for the last 4 seconds. You are to sketch a graph of her position along the track (in yards) as a function of time (in seconds). Be aware that she does not turn around and run toward the starting line, and she runs through the finish line rather than coming to a stop at the finish line.
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18. Create the equation of a function whose rate of change is always negative, but is increasing as the value of x increases (as the graph moves left to right). Sketch a quick graph of the function, as well as stating it's equation.