Answer :

It is given that equation of the curve is 6y = x3 + 2.

The rate of change of the position of the particle with respect to time (t) is given by:

………….. (1)

When the y- coordinate of the particle changes 8 times as fast as the x – coordinate

then, we have,

So, putting the value in (1), we get,

So, when x = +4, then,


So, when x = -4, then, y = -62/6 = -31/2

Therefore, the points required on the curve are (4,11) are (-4, -31/2).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

The side of an eqMathematics - Board Papers

For the curve, <sMathematics - Board Papers

The money to be sMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

The side of an eqMathematics - Board Papers

The volume of a sMathematics - Board Papers