How las HOW Tast IS TInC uatu 4:00 PM? 24. A particle moves along the curve y = 2 sin(x/2). As the particle passes through the point (, 1), its x-coordinate increases at a rate of 10 cm/s. How fast is the distance from the particle to the origin changing at this instant? 25. Water is leaking out of an inverted conical tank at a rate of 10,000 cm'/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. 26. A trough is 10 ft long and its ends have the shape of isos- celes triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 25

How las
HOW Tast IS TInC uatu
4:00 PM?
24. A particle moves along the curve y = 2 sin(x/2). As the
particle passes through the point (, 1), its x-coordinate
increases at a rate of 10 cm/s. How fast is the distance
from the particle to the origin changing at this instant?
25. Water is leaking out of an inverted conical tank at a rate
of 10,000 cm'/min at the same time that water is being
pumped into the tank at a constant rate. The tank has height
6 m and the diameter at the top is 4 m. If the water level is
rising at a rate of 20 cm/min when the height of the water
is 2 m, find the rate at which water is being pumped into the
tank.
26. A trough is 10 ft long and its ends have the shape of isos-
celes triangles that are 3 ft across at the top and have a
height of 1 ft. If the trough is being filled with water at a
rate of 12 ft3
Transcribed Image Text:How las HOW Tast IS TInC uatu 4:00 PM? 24. A particle moves along the curve y = 2 sin(x/2). As the particle passes through the point (, 1), its x-coordinate increases at a rate of 10 cm/s. How fast is the distance from the particle to the origin changing at this instant? 25. Water is leaking out of an inverted conical tank at a rate of 10,000 cm'/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. 26. A trough is 10 ft long and its ends have the shape of isos- celes triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft3
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