4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm wide of 50 cm. If the through leaks water at the rate of 2000 cm3/min, how fast is the water level decreasing when the water is 20 cm deep. 5. A kite 100 feet above the ground is being blown away from the person holding its string in a direction parallel to the ground and at a rate of 10 feet per second. At what rate must the string be let out when the length of string already let out is 200 feet?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. A trough filled with liquid is 2 m long and has
a cross section of an isosceles trapezoid 30 cm
wide of 50 cm. If the through leaks water at the
rate of 2000 cm3/min, how fast is the water
level decreasing when the water is 20 cm deep.
5. A kite 100 feet above the ground is being
blown away from the person holding its
string in a direction parallel to the ground and
at a rate of 10 feet per second. At what
rate must the string be let out when the length
of string already let out is 200 feet?
Transcribed Image Text:4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm wide of 50 cm. If the through leaks water at the rate of 2000 cm3/min, how fast is the water level decreasing when the water is 20 cm deep. 5. A kite 100 feet above the ground is being blown away from the person holding its string in a direction parallel to the ground and at a rate of 10 feet per second. At what rate must the string be let out when the length of string already let out is 200 feet?
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