The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.) mm/s A plane flying horizontally at an altitude of 1 mi and a speed of 550 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole number.) mi/h

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.)
mm3/s
A plane flying horizontally at an altitude of 1 mi and a speed of 550 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole
number.)
mi/h
Transcribed Image Text:The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.) mm3/s A plane flying horizontally at an altitude of 1 mi and a speed of 550 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole number.) mi/h
An upright cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing? (Round the answer to four decimal places.)
m/min
Transcribed Image Text:An upright cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing? (Round the answer to four decimal places.) m/min
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