Posted by **Anonymous** on Saturday, April 21, 2007 at 3:11pm.

a particle moves along the curve xy=10. if x=2 and dy/dt=3, what is the value of dx/dt.

i'm guessing this is something to do with parametric equations.

if x is 2, then y=5. but how do i get dx/dt.

you have to differentiate the equation with respect to t

so xy=10

x(dy/dt) + y(dx/dt) = 0

when x=2 y = 5 and dy/dt = 3

so 2(3) + 5(dx/dt) = 0

etc. solve for dx/dt

- calculus -
**natasha**, Wednesday, February 13, 2013 at 7:33pm
-6/5

## Answer This Question

## Related Questions

- Calculus - Find parametric equations for the tangent line to the curve with the ...
- calculus - A point moves along the curve that has the parametric equations: x=9t...
- Calculus - Find parametric equations for the tangent line to the curve with the ...
- Calculus - A particle moves along the curve y = 3x2 + 1 in such a way that the y...
- calculus - (a) Modifying the parametric equations of a unit circle, find ...
- PHYSICS - When the force F acting on a particle depends only on the particle's ...
- Calculus - A particle moves along the curve y=lnx so that its abscissa is ...
- Calculus - A curve is defined by the parametric equations: x = t2 – t and y = t3...
- ap calculus - a particle moves along the x axis in such a way that its ...
- pre calculus - Explain how you sketch a plane curve given by parametric ...

More Related Questions