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Calculus Concepts An Informal Approach to the Mathematics of Change, 5e Torre, Kenelly, Reed, Carpenter, Harris, Biggers ( all Chapters)
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Latorre Calculus Concepts 5e Chapter 1 Page 1
- Calculate the output value that corresponds to the given input values of the function. ( ) 3.3 8; 5, 10s t t t t= + = =
A) (5) 24.5
(10) 41
s s = =
B) (5) 5
(10) 10
s s = =
C) (5) 41
(10) 24.5
s s = =
D) (5) 19.8
(10) 36.3
s s = =
E) (5) 24.5
(10) 36.3
s s = =
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Easy
Exercise Group: 11-18
Learning Objective: Calculate the output values
Section: 1.1
Similar to Exercise: 1.1.11
Type: Skill
- Evaluate the function at the given values of the independent variables. 32
–4 – 2 – 2 ; –4, 7z x xy y x y= = =
- 214z=
- –106z=
- 166z=
- 144z=
- –374z=
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Easy
Exercise Group: 11-18
Learning Objective: Evaluate a multivariable function
Section: 1.1
Similar to Exercise: 1.1.13
Type: Skill
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Latorre Calculus Concepts 5e Chapter 1
Page 2 3.Find the input of the function –2.5 54 ()
- +1
- –0.856t=
- 53.940t=
- –1.879t=
- 2.140t=
- 0.256t=
t ft e = corresponding to the output ( ) 3ft= to three decimal places.
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 19-26
Learning Objective: Calculate input values
Section: 1.1
Similar to Exercise: 1.1.22
Type: Skill
- Given ()
3 3, x f x e=− evaluate ()2.f− Round to the nearest ten-thousandth.
A) 426.75
B) 400.429
C) 406.429
D) − 2.9975
Ans: D
Format: Multiple Choice
Algorithmic: No
Difficulty: Easy
Exercise Group: 27-34
Learning Objective: Evaluate a function
Section: 1.1
Similar to Exercise: 1.1.29
Type: Skill
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Latorre Calculus Concepts 5e Chapter 1
Page 3
- Find the input of the function ( ) 5 +9f x x= corresponding to the output ( ) –21fx= .
- –2x=
- –6x=
- –13x=
- –150x=
- –96x=
Ans: B
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 27-34
Learning Objective: Calculate input values
Section: 1.1
Similar to Exercise: 1.1.32
Type: Skill
- The percentage of mothers in a large city who gave birth to a child in 2005 and returned
to the workforce within x months of having the child is modeled as ()25.95 10.17 lnw x x=+ percent What percentage of mothers returned to the workforce within the first year after giving birth?Round to the nearest thousandth.
A) 51.222%
B) 28.435%
C) 36.925%
D) 38.980%
E) 25.272%
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 42
Learning Objective: Calculate percentage
Section: 1.1
Similar to Exercise: 1.1.42
Type: Application
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