Consider this problem. Water is drained from a swimming pool at a rate given by r (t) = 100e¯ź gallons per hour, where k = 20. If the pool could drain forever (infinite time), how much water would drain from the pool? Step through the solution. Advice: solve the problem on paper. Then, answer the following questions. The total amount of water drained is given by the integral of the rate function over the infinite time interval: * 100e¯ź dt improper OR undefined OR divergent OR indeterminate This integral is Select ] A student worked out the antiderivative of 100ei. They considered several possibilities: A) 100e¯í B) – 100k - e¯ź C) e 100 The correct antiderivative is possibility ( Select] A OR B OR C ♥ After the student applied the evaluation theorem, and after they completed some algebra steps, they needed to take this limit: lim They considered several possibilities: A) O B) 1 C) 0 The correct limit is possibility [ Select] A OR B OR C
Consider this problem. Water is drained from a swimming pool at a rate given by r (t) = 100e¯ź gallons per hour, where k = 20. If the pool could drain forever (infinite time), how much water would drain from the pool? Step through the solution. Advice: solve the problem on paper. Then, answer the following questions. The total amount of water drained is given by the integral of the rate function over the infinite time interval: * 100e¯ź dt improper OR undefined OR divergent OR indeterminate This integral is Select ] A student worked out the antiderivative of 100ei. They considered several possibilities: A) 100e¯í B) – 100k - e¯ź C) e 100 The correct antiderivative is possibility ( Select] A OR B OR C ♥ After the student applied the evaluation theorem, and after they completed some algebra steps, they needed to take this limit: lim They considered several possibilities: A) O B) 1 C) 0 The correct limit is possibility [ Select] A OR B OR C
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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![Consider this problem.
Water is drained from a swimming pool at a rate given by
r (t) =
100e ž
gallons per hour, where k = 20.
If the pool could drain forever (infinite time), how much water would drain from the pool?
Step through the solution.
Advice: solve the problem on paper. Then, answer the following questions.
The total amount of water drained is given by the integral of the rate function over the infınite time interval:
S* 100e¯ž dt
[ Select ]
improper OR undefined OR divergent OR indeterminate
This integral is
A student worked out the antiderivative of 100e¯. They considered several possibilities:
A) 100e¯
B) – 100k · e
C) 100 e
The correct antiderivative is possibility [Select ] A OR B OR C ♥
After the student applied the evaluation theorem, and after they completed some algebra steps, they needed to take this limit:
lim
e
b → ∞
They considered several possibilities:
A) O
B) 1
C) ∞
The correct limit is possibility [Select] A OR B OR C ♥](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf1a5bec-06ae-4877-98a5-63166d48c380%2F60084cc9-2cd4-4561-a527-d95a6eda942a%2Fl2mifp_processed.png&w=3840&q=75)
Transcribed Image Text:Consider this problem.
Water is drained from a swimming pool at a rate given by
r (t) =
100e ž
gallons per hour, where k = 20.
If the pool could drain forever (infinite time), how much water would drain from the pool?
Step through the solution.
Advice: solve the problem on paper. Then, answer the following questions.
The total amount of water drained is given by the integral of the rate function over the infınite time interval:
S* 100e¯ž dt
[ Select ]
improper OR undefined OR divergent OR indeterminate
This integral is
A student worked out the antiderivative of 100e¯. They considered several possibilities:
A) 100e¯
B) – 100k · e
C) 100 e
The correct antiderivative is possibility [Select ] A OR B OR C ♥
After the student applied the evaluation theorem, and after they completed some algebra steps, they needed to take this limit:
lim
e
b → ∞
They considered several possibilities:
A) O
B) 1
C) ∞
The correct limit is possibility [Select] A OR B OR C ♥
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