Ask a New Question

Question

A point moves along the curve y=(x-2)^2 such that the x coordinate is increasing at 2 units per second. At the moment x=1, how fast is its y coordinate changing.
15 years ago

Answers

FredR
y = (x-2)^2
y = x^2-4x -4
dy = 2xdx - 4dx
so,
dy/dx = 2x-4
dx/dt = 2
so,
dy/dt = dy/dx dx/dt
= 2(2x-4)
= 4x-8
for x=1 then
dy/dt = 4(1)-8 = -4 units per second
15 years ago

Related Questions

A point moves along the curve that has the parametric equations: x=9t^3- 〖6t〗^2 and y= 〖9t〗^... At what point of the curve y= x^4 is the normal line parallel to 2x + y = 3? Find the equation of th... A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. A... At which point on the curve y = -2+2e^x is the tangent line parrellel to the line 3x-y=5? Just giv... Point P in the curve y=x^3 has coordinates (3,27) and PQ is the tangent to the curve at P.Point Q to... A particle moves along a curve so that its position at time t is given by the position vector <4e^(3... A point moves along the curve y=x^2+1 so that the x-coordinate increases at a constant rate of 5 uni... At what point does the curve x^2-2x+y=0 have a slope of -2. Any point beyond the PPC curve is called
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use