Digital Test Bank - Calculus Early Transcendentals,Stewart,9e

10.2 Calculus with Parametric Curves

1. Find the point(s) on the curve where the tangent is horizontal.




a. (2, –2)
b. (0, 0), (4, –4)
c. (–1, 1), (–4, –4)
d. (2, 2),(6, 0)
e. None of these
ANSWER: d
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.18
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
STUDENT ENTRY MO Basic
DE:
LEARNING OBJECTIV CALC.COH.LO.08.01.01 - Find equations of tangent lines to curves described by
ES: parametric equations.
OTHER: Bimodal
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:08 AM

2. Find the length of the curve.



a.

b.

c.

d.

e. None of these
ANSWER: d
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.41
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
STUDENT ENTRY MODE Basic
:
LEARNING OBJECTIVES CALC.COH.LO.08.01.03 - Find arc lengths of curves described by parametric
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,10.2 Calculus with Parametric Curves

: equations.
OTHER: Bimodal
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:13 AM

3. Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.




a.


b.



c.



d.



e. None of these
ANSWER: d
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.6
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
STUDENT ENTRY MO Basic
DE:
LEARNING OBJECTIV CALC.COH.LO.08.01.01 - Find equations of tangent lines to curves described by
ES: parametric equations.
OTHER: Bimodal
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:21 AM

4. Find the exact area of the surface obtained by rotating the given curve about the x-axis.




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,10.2 Calculus with Parametric Curves

a.


b.


c.


d.

e. None of these
ANSWER: a
POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.63
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
STUDENT ENTRY Basic
MODE:
LEARNING OBJEC CALC.COH.LO.08.01.04 - Find the surface area of a solid formed by rotating a curve
TIVES: described by parametric equations.
OTHER: Bimodal
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:24 AM


5. The curve cross itself at some point . Find the equations of both
tangent lines at that point.

a.


b.


c.

d.


e.


ANSWER: d
POINTS: 1
DIFFICULTY: Medium
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, 10.2 Calculus with Parametric Curves

REFERENCES: 10.2.10
QUESTION TYPE: Multi-Mode (Multiple choice)
HAS VARIABLES: True
STUDENT ENTRY MO Basic
DE:
LEARNING OBJECTIV CALC.COH.LO.08.01.01 - Find equations of tangent lines to curves described by
ES: parametric equations.
OTHER: Bimodal
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:38 AM

6. Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.



ANSWER:


POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.5
QUESTION TYPE: Numeric Response
HAS VARIABLES: True
LEARNING OBJECTIV CALC.COH.LO.08.01.01 - Find equations of tangent lines to curves described by
ES: parametric equations.
OTHER: Numerical Response
NOTES: Section 10.2
DATE CREATED: 7/20/2015 2:23 PM
DATE MODIFIED: 2/10/2020 4:40 AM

7. Find an equation of the tangent to the curve at the point by first eliminating the parameter.



ANSWER:



POINTS: 1
DIFFICULTY: Medium
REFERENCES: 10.2.7
QUESTION TYPE: Numeric Response
HAS VARIABLES: True
LEARNING OBJECTIV CALC.COH.LO.08.01.01 - Find equations of tangent lines to curves described by
ES: parametric equations.
OTHER: Numerical Response
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