# Thread: need help with calc implicit differentiation word problems (due very soon!!)

1. ## need help with calc implicit differentiation word problems (due very soon!!)

A particle is moving along the curve y = 3 √{3 x + 1}. As the particle passes through the point (1, 6), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

and

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 10 feet high?
Hint: The volume of a right circular cone with height h and radius of the base r is given by V = [1/3] πr2 h.

idk what to do for the first one after getting derivative of y. and for the second one i get 1.2something but it says its wrong please help

2. Originally Posted by needhelpnao
A particle is moving along the curve y = 3 √{3 x + 1}. As the particle passes through the point (1, 6), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

and

Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 10 feet high?
Hint: The volume of a right circular cone with height h and radius of the base r is given by V = [1/3] πr2 h.

idk what to do for the first one after getting derivative of y. and for the second one i get 1.2something but it says its wrong please help