ANSWER SHOULD BE IN ft^2/sec. Watch help videoThe volume of a sphere is decreasing at a constant rate of 200 cubicfeet minute. At the instant when the radius of the sphere is 2 feet,perwhat is the rate of change of the surface area of the sphere? Thevolume of a sphere can be found with the equation V =Tr and thesurface area can be found with S = 4Tr. Round your answer tothree decimal places (if necessary).ft2minAnswer:Submit Answerattempt 1 out of 2Priyacy Policy Terms of Service

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section1.2: Linear Equations In One Variable

Problem 72E: Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches...

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The temperature T (in degrees Fahrenheit) of saturated steam increases as pressure increases. This relationship can be approximated by the model T=75.822.11x+43.51x5x40 where x is the absolute pressure (in pounds per square inch). (a) The temperature of saturated steam at sea level is 212F. Find the absolute pressure at this temperature. (b) Use a graphing utility to verify your solution for part (a).
Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?
The radius of a cylinder is decreasing at a constant rate of 4 centimeters per minute. The volume remains a constant 483 cubic centimeters. At the instant when the height of the cylinder is 44 centimeters, what is the rate of change of the height? The volume of a cylinder can be found with the equation V=\pi r^2 h.V=πr2h. Round your answer to three decimal places.
Height The volume of oil in a cylindrical container is increasing at a rate of 150 cubic inches per second. The height of the cylinder is approximately ten times the radius. At what rate is the height of the oil changing when the oil is 35 inches high? (Hint: The formula for the volume of a cylinder is V = πr2 h
The radius of a cone is decreasing at a constant rate of 8 feet per minute. The volume remains a constant 54 cubic feet. At the instant when the height of the cone is 66 feet, what is the rate of change of the height? The volume of a cone can be found with the equation V=13πr2h.V=31πr2h. Round your answer to three decimal places.
The height of a cylinder is decreasing at a constant rate of 4 centimeters per second. The volume remains a constant 17 cubic centimeters. At the instant when the radius of the cylinder is 11 centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=\pi r^2 h.V=πr2h. Round your answer to three decimal places.
The radius of a cone is decreasing at a constant rate of 6 meters per minute. The volume remains a constant 154 cubic meters. At the instant when the height of the cone is 3 meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V=31πr2h. Round your answer to three decimal places.
The radius of a cone is decreasing at a constant rate of 3 feet per minute. The volume remains a constant 30 cubic feet. At the instant when the height of the cone is 66 feet, what is the rate of change of the height? The volume of a cone can be found with the equation V=13πr2h.V=31πr2h.Round your answer to three decimal places.
The height of a cylinder is increasing at a constant rate of 3 inches per minute. The volume remains a constant 788 cubic inches. At the instant when the radius of the cylinder is 9 inches, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=\pi r^2 h.V=πr2h. Round your answer to three decimal places.
The height of a cylinder is increasing at a constant rate of 6 feet per second, and the volume is decreasing at a rate of 171 cubic feet per second. At the instant when the height of the cylinder is 6 feet and the volume is 1254 cubic feet, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=πr2h. Round your answer to three decimal places.
The length s of each side of an equilateral triangle is increasing at a rate of 13 feet per hour. Find the rate of change of the area when s = 41 feet. (Hint: The formula for the area of an equilateral triangle is A = s2 √3/4 .)
When medicine is administered, reaction (measured in change of blood pressure or temperature) can be modeled by R = m2 (c/2-m/3) (this is one equation, couldnt not format it properly, let me know if need clarification where c is a positive constant and m is the amount of medicine absorbed into the blood.† The sensitivity to the medication is defined to be the rate of change of reaction R with respect to the amount of medicine m absorbed in the blood. (a) Find the sensitivity. (b) Find the instantaneous rate of change of sensitivity with respect to the amount of medicine absorbed in the blood. (c) Which order derivative of reaction gives the rate of change of sensitivity? first derivativesecond derivative third derivative

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