Math 151-01                                                                                                             Name:  KEY

Quiz 5

  1. A hot air balloon is rising straight up from its launching pad at a speed of 100 ft/min. Meanwhile, a person is running straight toward the launch pad at a speed of 200 ft/min. At what rate is the distance between the person and the balloon changing at the instant the balloon is 30 ft above the launch pad and the person is 40 ft from the launch pad? Is the distance between the person and the balloon getting smaller or larger? (Note: It is very important that you clearly show all of your variables on a carefully drawn and labelled picture.)

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MATH
     
  1. Let MATH

    1. Find $\dfrac{dy}{dx}.$


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    2. Find all points on the curve where $x=0.$
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            MATH
             
             
    3. Find the equation of each tangent line when $x=0.$


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