If a point moves on the hyperbola x^2-4y^2=36 in such a way that x-coordinate increases at constant rate of 20 units per second. How fast is the y coordinated changing at point (10,4)?

please help!!!

Differentiating implicitly with respect to t,
2 x dx/dt - 4 y dy/dt = 0
dy/dt = (1/2) (x/y) dx/dt
Plug in x=10, y=4 and dx/dt = 20 and crank out the answer.

1 answer

dy/dt = 10 units per second

Ask a New Question or answer this question.

Similar Questions

Consider the hyperbola y = 1/x and think of it as a slide. A particle slides along the hyperbola so that its x-coordinate is
1. 1 answer
A comet's path can be modeled by one branch of the hyperbolay2 1096 􀀀 x2 41334 = 1; where the sun is at the focus of that
1. 3 answers
point on the hyperbola 9x^2−6y^2=10 closest to the point (0, 7).y coordinate of each point= ? positive x coordinate= ?
1. 1 answer
Which statement describes the area swept out by a line between a planet and the sun at equal times as the planet moves along its
1. 1 answer