The function r ( t ) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010 r ( t ) = { − 0.1 t + 3 if 0 ≤ t ≤ 10 − 0.05 t + 2.5 if 10 ≤ t ≤ 20 The function r ( t ) is in million people per year, where t is time in years since 1990.

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Answer 1

Question

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

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Answer 2

Question

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Answer 6

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Answer 7

Chapter 14.1, Problem 67E

(a)

To determine

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Answer 8

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Answer 9

(b)

To determine

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

The function r ( t ) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010 r ( t ) = { − 0.1 t + 3 if 0 ≤ t ≤ 10 − 0.05 t + 2.5 if 10 ≤ t ≤ 20 The function r ( t ) is in million people per year, where t is time in years since 1990.

Solution Summary: The author calculates the function r(t) in the form of closed-form function.

Concept explainers

Videos

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.

Want to see the full answer?

Chapter 14 Solutions

The function r ( t ) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010 r ( t ) = { − 0.1 t + 3 if 0 ≤ t ≤ 10 − 0.05 t + 2.5 if 10 ≤ t ≤ 20 The function r ( t ) is in million people per year, where t is time in years since 1990.

Solution Summary: The author calculates the function r(t) in the form of closed-form function.

Concept explainers

Videos

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010 r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20 The function r(t) is in million people per year, where t is time in years since 1990.

To calculate: The total increase in population in 20 years with definite integral. If the approximate rate of change of population in Mexico over 1990-2010 r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20 The function r(t) is in million people per year, where t is time in years since 1990.

Want to see the full answer?

Chapter 14 Solutions

To calculate: The function r(t) in the form of closed-form function. If the approximate rate of change of population in Mexico over 1990-2010

r(t)={−0.1t+3 if 0≤t≤10−0.05t+2.5 if 10≤t≤20

The function r(t) is in million people per year, where t is time in years since 1990.