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Air is being pumped into a spherical balloon at the rate of R(t)=t+cos(t-1) cm³/min, but there is a small hole in the balloon and at the same time air is leaking out at the rate of L(t) = 0.5tan ¹(t) cm³/min.

Air is being pumped into a spherical balloon at the rate of R(t)=t+cos(t-1) cm³/min, but there is a small hole in the balloon and at the same time air is leaking out at the rate of L(t) = 0.5tan ¹(t) cm³/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 calculator may be used on the following questions. Air is being pumped into a spherical balloon at the rate of R(t)=t+cos(t-1) cm³/min, but there is a small hole in the balloon and at the same time air is leaking out at the rate of L(t) = 0.5 tan-¹(t) cm³/min. = -2 144 12+ 10+ 8 6 2 Select one: O a. 17 ~ 2 C. ++ 4 1/10 110. 0 6 Which of the following is true for 0 ≤t≤ 10, where t is measured in minutes? +00 8 10 + 12 X minutes. O b. R(0) - L(0) = 1 -10 R(t)- L (t) dt represents the increase in volume during the first 10 minutes. R(t) L(t)dt represents the increase in volume each minute during the first 10 10 O d. [ R(t)-I(t)dr represents the volume of the balloon after the first 10 minutes. 0
Transcribed Image Text:A calculator may be used on the following questions. Air is being pumped into a spherical balloon at the rate of R(t)=t+cos(t-1) cm³/min, but there is a small hole in the balloon and at the same time air is leaking out at the rate of L(t) = 0.5 tan-¹(t) cm³/min. = -2 144 12+ 10+ 8 6 2 Select one: O a. 17 ~ 2 C. ++ 4 1/10 110. 0 6 Which of the following is true for 0 ≤t≤ 10, where t is measured in minutes? +00 8 10 + 12 X minutes. O b. R(0) - L(0) = 1 -10 R(t)- L (t) dt represents the increase in volume during the first 10 minutes. R(t) L(t)dt represents the increase in volume each minute during the first 10 10 O d. [ R(t)-I(t)dr represents the volume of the balloon after the first 10 minutes. 0
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