Calculus I

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  • E2P11
  • #13248

    Ezra Halleck
    Participant

    11. 3.11: The sides of a rectangle are increasing. One side is increasing at a rate of 3 m/sec and the adjacent side is increasing at a rate of 4 m/sec. At what rate is the area of the rectangle increasing?
    A) 12
    B) 7
    C) 25
    D) 5
    E) The solution depends on the values of the sides at the time .

    This problem is testing whether you will recognize and know how to apply the product rule.

    #16861

    Ezra Halleck
    Participant

    A=xy
    A’=x’y+xy’
    =3y+4x
    So the rate of increase depends on the values of the side lengths at time t.

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