Summative Exam: Part 1 (Multiple Choice)

75 Questions | Total Attempts: 15

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Summative Exam: Part 1 (Multiple Choice)


Questions and Answers
  • 1. 
    A piece of cloth is needed to patch a hole in a pants' pocket whose dimension is bounded by , and the horizontal line.
  • 2. 
    Jack, a former seaman, wants his architect friend to build him a cabin which looks like a deck and has two rooms. The whole cabin is bounded by walls whose equations are  and .
  • 3. 
    The process of finding the antiderivative of a function is called ____________.
    • A. 

      A. Antidifferentiation

    • B. 

      B. Differentiation

    • C. 

      C. Antiderivatives

    • D. 

      Derivation

  • 4. 
    In F(x)+C, C is called _______________.
    • A. 

      A. Arbitrary constant

    • B. 

      B. Coefficient constant

    • C. 

      C. Limited constant

    • D. 

      D. Derived constant

  • 5. 
    Given , what do we call the function ?
    • A. 

      A. Integral

    • B. 

      B. Integrand

    • C. 

      C. Derivative

    • D. 

      D. Antiderivative

  • 6. 
    What is the general antiderivative of ?
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 7. 
    • A. 

      A. True

    • B. 

      B. Sometimes true

    • C. 

      C. False

    • D. 

      D. Sometimes false

  • 8. 
    Which is always true of the following statements?
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 9. 
    Given and . What are their points of intersection?
    • A. 

      A. (-9, -6), (-4, -4)

    • B. 

      B. (-9, 6), (4, -4)

    • C. 

      C. (9, 6), (4, -4)

    • D. 

      D. (9, 6), (4, 4)

  • 10. 
    Evaluate .
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 11. 
    Evaluate 
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 12. 
    What is the definite integral of ?
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 13. 
    Find the antiderivative of .
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 14. 
    Find the integral of .
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 15. 
    Integrate 
    • A. 

      A.

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 16. 
    The integral  can be evaluated by _________.
    • A. 

      A. letting 

    • B. 

      B. letting 

    • C. 

      C. letting 

    • D. 

      D. letting 

  • 17. 
    The Fundamental Theorem of Calculus is defined as_______.
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

  • 18. 
    Which is true of the following statements?
    • A. 

      A. In Fundamental Theorem of Calculus, the function F(x) is the derivative function of the integrand.

    • B. 

      B. In Fundamental Theorem of Calculus, the function F(x) is the antiderivative function of the integrand.

    • C. 

      C. In Fundamental Theorem of Calculus, the function F(x) is the limit function of the integrand.

    • D. 

      D. In Fundamental Theorem of Calculus, the function F(x) is the inverse function of the integrand.

  • 19. 
    Which of the following statements is true?
    • A. 

      A. The definite integral of   on the interval  is 0.

    • B. 

      B. The definite integral of   on the interval  is 1.

    • C. 

      C. The definite integral of   on the interval  is .

    • D. 

      D. The definite integral of   on the interval  is  .

  • 20. 
    Which of the following statements is NOT true?
    • A. 

      A. When we evaluate , the result is 4.

    • B. 

      B. When we evaluate , the result is -2.

    • C. 

      C. When we evaluate , the result is 6.

    • D. 

      D. When we evaluate , the result is 18.

  • 21. 
    Which of the following statements is NOT true?
    • A. 

      A. The integral of  within the interval [0, 1] is 15

    • B. 

      B. The integral of  within the interval [0, 1] is 1.666 ...

    • C. 

      C. The integral of  within the interval [0, 1] is 2.5

    • D. 

      D. The integral of  within the interval [0, 1] is 10.

  • 22. 
    Evaluate 
    • A. 

      A. -18

    • B. 

      B. 18

    • C. 

      C, -6

    • D. 

      D. 6

  • 23. 
    Integration by substitution is also called the ‘Reverse Chain Rule’.
    • A. 

      A. The statement is true.

    • B. 

      B. The statement is false.

    • C. 

      C. The statement is sometimes true.

    • D. 

      D. The statement is seldom false.

  • 24. 
    Evaluate .
    • A. 

      A. -8

    • B. 

      B. 8

    • C. 

      C. -16

    • D. 

      D. 16

  • 25. 
    To evaluate the definite integral , we let _________________.
    • A. 

      A. 

    • B. 

      B. 

    • C. 

      C. 

    • D. 

      D. 

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