Home
Class 12
MATHS
A particle moves along the curve 6y= x^(...

A particle moves along the curve `6y= x^(3)+2` find the points on the curve at which the y-coorinate is changing 8 times as fast as the x- coordinate.

Text Solution

Verified by Experts

The correct Answer is:
(4,11) and `(-4, (-31)/(3))`
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER JULY -2018

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER JULY -2018

    SUNSTAR PUBLICATION|Exercise PART-C|14 Videos

  • II PUC MATHEMATICS (ANNUAL EXAM QUESTIONS PAPER MARCH -2019)

    SUNSTAR PUBLICATION|Exercise PART-D|14 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH - 2020

    SUNSTAR PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the curve 6y = x^(3) +2. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

A particle moves along the curve 6y = x^(3)+2 . Find the points on the curve at which the y coordinate is changing 8 times as fast as the x - coordinate.

A particle move along the curve 6y = x^(3) + 2 .Find the points on the curve at which y-coordinate is changing 8 times as fast as the x-coordinates.

The particle moves along the curve y=x^(2)+2x Then the point on the curve such that x and y coordiantes of the particle change with the same rate

Find the points on the curve y = x 3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the points on the curve y = x^(3) at which the slope of the tangent is equal to the y-coordinate of the point.

Find the point on the curve y=x^(2)-11x+5 at which the tangent is y=x-11.

Find the slope of the tangent to the curve y = x^(3) - 3x + 2 at the point whose x-coordinate is 3.

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2

Find a point on the curve y=(x-2)^(2) at which the tangent is parallel to the x-axis .