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    Calculus 7th Edition Stewart Test Bank

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    davidweaverfkbczdmirg
    This document provides 20 numerical response questions from Chapter 3 of Calculus 7th Edition by Stewart. The questions test a variety of calculus concepts including finding derivatives using basic differentiation rules, implicit differentiation, related rates, limits, and finding derivatives of higher order. Students are asked to set up and solve calculus problems involving functions, rates of change, tangents, and optimization.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Calculus 7th Edition Stewart Test Bank

    Uploaded by

    davidweaverfkbczdmirg
    429 views6 pages
    This document provides 20 numerical response questions from Chapter 3 of Calculus 7th Edition by Stewart. The questions test a variety of calculus concepts including finding derivatives using basic differentiation rules, implicit differentiation, related rates, limits, and finding derivatives of higher order. Students are asked to set up and solve calculus problems involving functions, rates of change, tangents, and optimization.

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    Test Bank

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    This document provides 20 numerical response questions from Chapter 3 of Calculus 7th Edition by Stewart. The questions test a variety of calculus concepts including finding derivatives using basic differentiation rules, implicit differentiation, related rates, limits, and finding derivatives of higher order. Students are asked to set up and solve calculus problems involving functions, rates of change, tangents, and optimization.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    429 views6 pages

    Calculus 7th Edition Stewart Test Bank

    Uploaded by

    davidweaverfkbczdmirg
    This document provides 20 numerical response questions from Chapter 3 of Calculus 7th Edition by Stewart. The questions test a variety of calculus concepts including finding derivatives using basic differentiation rules, implicit differentiation, related rates, limits, and finding derivatives of higher order. Students are asked to set up and solve calculus problems involving functions, rates of change, tangents, and optimization.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    Calculus 7th Edition Stewart Test Bank

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    Calculus 7th Edition Stewart Test Bank

    Chapter 03_Form A

    NUMERIC RESPONSE

    1. Find in terms of .

    __________

    ANS:

    PTS: 1 DIF: Easy MSC: Numerical Response


    NOT: Section 3.1

    2. Find the points on the curve where the tangent is horizontal.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    3. Find the equation of the tangent to the curve at the given point.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    4. Differentiate.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.3

    5. Differentiate the function.

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    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.6

    6. The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with
    an initial velocity of 24.5 m/s is after t seconds.

    a) When does the projectile reach its maximum height?


    b) What is the maximum height?

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.7

    7. Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.5

    8. Calculate .

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.3
    9. A spherical balloon is being inflated. Find the rate of increase of the surface area with
    respect to the radius r when r = 1 ft.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.7

    10. Find the derivative of the function.



    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.3

    11. Find an equation of the tangent line to the curve.



    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    12. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the bottom
    of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s . How long is the
    ladder?

    __________ m

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.9

    13. Find the limit if .


    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.3

    14. A company makes computer chips from square wafers of silicon. It wants to keep the side length of a
    wafer very close to 16 mm. The area is A(x). Find (16).

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.7

    15. Calculate .

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.5

    16. Find the first and the second derivatives of the function.

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    17. Find the given derivative by finding the first few derivatives and observing the pattern that occurs.
    Calculus 7th Edition Stewart Test Bank

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    18. If and , find

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.1

    19. The volume of a cube is increasing at a rate of . How fast is the surface area increasing
    when the length of an edge is .

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.9

    20. If , find .

    __________

    ANS:

    PTS: 1 DIF: Medium MSC: Numerical Response


    NOT: Section 3.6

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