Asked by Ken
An object is moving along a circle of radius 5 . When the object is at the point (−4,3) , the y value of its position is changing at the rate of 9 units per second. How fast is the x value of its position changing at that moment?
Answers
Answered by
Steve
x^2 + y^2 = 25
2x dx/dt + 2y dy/dt = 0
2(-4) dx/dt + 2(3)(9) = 0
-8 dx/dt + 54 = 0
dx/dt = 54/8 = 27/4 = 6.75
makes sense; the particle is moving up to the right.
2x dx/dt + 2y dy/dt = 0
2(-4) dx/dt + 2(3)(9) = 0
-8 dx/dt + 54 = 0
dx/dt = 54/8 = 27/4 = 6.75
makes sense; the particle is moving up to the right.