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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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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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