1.

A particle moves along the curve 6y=x^ 3+2. find the points on the curve on which y coordinate is changing 2 times as fast as x coordinate

Answer»

Y is CHANGING 2 times as fast as x means dy/DX =2
differentiating given curve w.r.t x , we get
6 dy/dx =3x^2
dy/dx = x^2/2 which is EQUAL to 2
So, x^2=4
x=2,-2
putting value of x in curve,
6y = 2*2*2 +2 ,-2*-2*-2+2
6y=10,-6
y=5/3,-1
points are (2,5/3) and (-2,-1)


Discussion

No Comment Found

Related InterviewSolutions