State True or False... Prove

If the rate of change of y wrt x is 5 and x is changing at 3 units/sec, then y is changing faster then x.....

 

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in Calculus Answers by Level 2 User (1.3k points)

I have the same diffaculty. Sorry I can't answer. I wish I could. It is just, I don't know that kind of math yet.

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1 Answer

Rate of change of y wrt x is dy/dx=5 so y=5x+c where c is constant (unknown).

x=3t+a so rate of change of x is 3 and t is time in seconds. dy/dt=dy/dx * dx/dt=5*3=15.

15>3 so y changes faster than x, therefore the statement is true.
by Top Rated User (1.1m points)

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