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A particle p moves on the curve y = x pow(2) + 1 in such a way that dx / dt = 4. If s is the distance of P from the point ( 0, 6 ), find ds / dt : ( a ) in general as a function of x and ( b ) when P is at ( 2, 5).

Please explain how to get started with this problem.

This is University calculus I related rate problem.

Please explain how to get started with this problem.

This is University calculus I related rate problem.

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Start your 7-day free trialYou have a parabola and a particle is moving on it in such a way that its speed in the x-direction is always 4 length-units/second.

we get

x = 4t +C

Given that, can you find y(t)?

I believe this is integration. Students haven't learned integration in this class yet.

I already mentioned that you can determine s = f(x,y).

And you know that the particle p moves on the curve y = x^2 + 1

So, y = g(x).

So, implicitly, s = h(x), right?

And dx/dt = 4 from your OP.

So, now you can take derivative of s --> ds/dt using what rule?

Math / Science

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