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A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How fast is the water level rising when the level is 1 m and when the level is 1.6 m? (Use decimal notation. Give your answers to four decimal places.) dhl dt i=1 dhl || dth=1.6 = m/min m/min

A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How fast is the water level rising when the level is 1 m and when the level is 1.6 m? (Use decimal notation. Give your answers to four decimal places.) dhl dt i=1 dhl || dth=1.6 = m/min m/min

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How fast is the water level rising when the level is 1 m and when the level is 1.6 m? (Use decimal notation. Give your answers to four decimal places.) dh! dth=1 = dhl dth=1.6 3 = m/min m/min
Transcribed Image Text:A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How fast is the water level rising when the level is 1 m and when the level is 1.6 m? (Use decimal notation. Give your answers to four decimal places.) dh! dth=1 = dhl dth=1.6 3 = m/min m/min
A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.7 m/s. A h dh dt 11=2 t=0 t=1 t = 2 5 X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Find the velocity of the top of the ladder at t = 2 s if the bottom is 1.5 m from the wall at t = 0 s. (Use decimal notation. Give your answer to three decimal places.) X m/s Attem Question Source: Rogawski 4e Calculus Early Transcendentals | Publisher
Transcribed Image Text:A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.7 m/s. A h dh dt 11=2 t=0 t=1 t = 2 5 X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Find the velocity of the top of the ladder at t = 2 s if the bottom is 1.5 m from the wall at t = 0 s. (Use decimal notation. Give your answer to three decimal places.) X m/s Attem Question Source: Rogawski 4e Calculus Early Transcendentals | Publisher
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