- #1
JasonJo
- 429
- 2
hey i need help with 2 differential calculus problems, i missed the lecture so i am clueless as how to how to solve this.
i don't really want the answer, id rather someone show me the methods
anywhere, here goes:
2) A street light is at the top of a 16ft tall pole. A woman 6th tall walks away from the pole with a speed of 8ft/sec along a straight path. How fast is the tip of her shadow receeding relative to the base of the pole when she is 30ft from the base of the pole?
(Note that the problem asks for the speed at which the tip of the shadow is moving along the ground, that is, the speed relative to the fixed street light)
3) Gravel is being dumped from a conveyor belt at a rate of 10cubic ft per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18ft high? Recall that the volume of a right circular cone with height h and radius of the base r is given by (equation of the volume of a right cirular cone)
THANKS!
i don't really want the answer, id rather someone show me the methods
anywhere, here goes:
2) A street light is at the top of a 16ft tall pole. A woman 6th tall walks away from the pole with a speed of 8ft/sec along a straight path. How fast is the tip of her shadow receeding relative to the base of the pole when she is 30ft from the base of the pole?
(Note that the problem asks for the speed at which the tip of the shadow is moving along the ground, that is, the speed relative to the fixed street light)
3) Gravel is being dumped from a conveyor belt at a rate of 10cubic ft per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18ft high? Recall that the volume of a right circular cone with height h and radius of the base r is given by (equation of the volume of a right cirular cone)
THANKS!