Mathematics

8thgrade

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Related Rates-AP Calc

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  • 1. Multiple Choice
    30 seconds
    1 pt
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    A snowball is rolling down a hill so that the volume of the snowball is increasing at a constant rate of 24 cm^3/sec. What is the rate of change when the radius is 12 cm?
    1/24𝜋 cm/sec
    𝜋/24 cm/sec
    1/48𝜋 cm/sec
    None of these
  • 2. Multiple Choice
    30 seconds
    1 pt
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    A 10 m ladder is leaning against a wall when its base begins to slide away from the wall. By the time the base is 8 m from the wall, it is moving at a rate of 3 m/s. At that moment, what is the vertical velocity of the top of the ladder?
    -10 m/s
    -4 m/s
    3 m/s
    -8 m/s
  • 3. Multiple Choice
    30 seconds
    1 pt
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    A sailboat 5 miles west of Point Stuart sails toward Point Stuart at 6 miles per hour. At the same moment, a motorboat 6 miles north of Point Stuart travels due south toward Point Stuart at 10 miles per hour. At that moment in time, what is the rate of change in the distance between the sailboat and the motorboat in miles per hour?
    13 miles/hour
    -13 miles/hour
    -12.5 miles/hour
    90 miles/hour
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