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reu 5. Volume with respect to time when r = 15 cmnco All

reu 5. Volume with respect to time when r = 15 cmnco All

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help with question 5 please. Thank you
helpful in identifying This gives us an equation relating the known and not to substitute the specific values for the variables until after you have computed all derivatives. Step 3. Use the given information to solve the problem. ms of known volume of a -32 18 ft. ate of at a O In Questions 5 and 6, water pours into a cylindrical glass of radius 4 cm. Let V and h denote the volume and water level, respectively, at time t. 5. Restate this question in terms of dv/dt and dh/dt: How fast is the water level rising if water pours in at a rate of 2 cm³/min? 6. t=0 6. Restate this question in terms of dv/dt and dh/dt: At what rate is water pouring in if the water level rises at a rate of 1 cm/min? In Exercises 5-8, assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is V = r³ and its surface area is 4nr². Determine the given rate. 5. Volume with respect to time when r = 15 cm Volume with respect to time at t = 2 min, assuming that r = 0 at 7. Surface area with respect to time when r = 40 cm 8. Surface area with respect to time at t = 2 min, assuming that r = 10 at t = 0 9. A conical tank (as in Example 2) 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 2 m?
Transcribed Image Text:helpful in identifying This gives us an equation relating the known and not to substitute the specific values for the variables until after you have computed all derivatives. Step 3. Use the given information to solve the problem. ms of known volume of a -32 18 ft. ate of at a O In Questions 5 and 6, water pours into a cylindrical glass of radius 4 cm. Let V and h denote the volume and water level, respectively, at time t. 5. Restate this question in terms of dv/dt and dh/dt: How fast is the water level rising if water pours in at a rate of 2 cm³/min? 6. t=0 6. Restate this question in terms of dv/dt and dh/dt: At what rate is water pouring in if the water level rises at a rate of 1 cm/min? In Exercises 5-8, assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is V = r³ and its surface area is 4nr². Determine the given rate. 5. Volume with respect to time when r = 15 cm Volume with respect to time at t = 2 min, assuming that r = 0 at 7. Surface area with respect to time when r = 40 cm 8. Surface area with respect to time at t = 2 min, assuming that r = 10 at t = 0 9. A conical tank (as in Example 2) 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 2 m?
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