A particle is moving along the curve whose equation isxy31 + y2 = 85Assume that the

Chapter 3, Problem 37

(choose chapter or problem)

A particle is moving along the curve whose equation is

$\frac{x y^{3}}{1+y^{2}}=\frac{8}{5}$

Assume that the $x$ -coordinate is increasing at the rate of $6 units/s$ when the particle is at the point $(1,2)$ .

(a) At what rate is the $y$ -coordinate of the point changing at that instant?
(b) Is the particle rising or falling at that instant?

Equation Transcription:

$\frac{{xy}^{3}}{1+{y}^{2}}=\frac{8}{5}$

Text Transcription:

xy^3/1+y^2 = 8/5

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