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Rate of Change

Primarygun
in Analysis and Calculus

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When I let x=A+4/3t, why can't I get the answer?

Because you're looking for change in Y?

 

Since you have a triangle, what you have is

 

a^2 + b^2 = c^2

x^2 + y^2 = 25

y = sqrt(25-x^2)

 

So that's the equation for the height of Y in terms of X. Then take its derivative to get change in Y (in meters) per change in X (in meters). Then, if you know that x is changing at 4/3 m/s at x=3m, multiply by 4/3 to get change in Y at the same moment. Then the change in slope is easy, since it's just change in Y divided by change in X.

  • Author

Yes, this is supposed to be the simpliest, the most common method to solve it.

But, why my method is incorrect?

Your method is incorrect because you're not solving for relevant information.

  • Author

A=x+4/3 t

For the variable in the pyth. theorem.

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