O H.W3: A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm? O H.W4: A large red balloon is rising at the rate of 20 ft/sec. The balloon is 10 ft above the ground at the point in time that the back end of a green car is directly below the bottom of the balloon. The car is traveling at 40 ft/sec. What is the rate of change of the distance between the bottom of the balloon and the point on the ground directly below the back of the car one second after the back of the car is directly below the balloon?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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O H.W3: A spherical balloon is inflated at a rate of
100 cm3 /sec. How fast is the radius changing
when the diameter of the balloon is 50 cm?
O H.W4: A large red balloon is rising at the rate of
20 ft/sec. The balloon is 10 ft above the ground at
the point in time that the back end of a green car
is directly below the bottom of the balloon. The
car is traveling at 40 ft/sec. What is the rate of
change of the distance between the bottom of the
balloon and the point on the ground directly
below the back of the car one second after the
back of the car is directly below the balloon?
Transcribed Image Text:O H.W3: A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when the diameter of the balloon is 50 cm? O H.W4: A large red balloon is rising at the rate of 20 ft/sec. The balloon is 10 ft above the ground at the point in time that the back end of a green car is directly below the bottom of the balloon. The car is traveling at 40 ft/sec. What is the rate of change of the distance between the bottom of the balloon and the point on the ground directly below the back of the car one second after the back of the car is directly below the balloon?
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