Homework Help: calc

Posted by ashley --- HELP PLEASEE!!! on Tuesday, December 27, 2011 at 10:38pm.

An object moves along a parabolic path defined by the equation y = 2x 2 + 1 in such a way that the y-value is decreasing at a constant rate of 2 units per second. At what rate is the x-coordinate changing when x = 3/2?

calc - Reiny, Tuesday, December 27, 2011 at 10:54pm
I will assume you meant to type
y = 2x^2 + 1
dy/dt = 4x dx/dt

given dy/dt = -2 when x = 3/2

-2 = 4(3/2) dx/dt
-2 = 6 dx/dt
dx/dt = -2/6 = -1/3
calc - Henry, Wednesday, December 28, 2011 at 7:01pm
post it.

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