(Solved) A bug crawls along the graph of y=x^2+4x+1, where x and y are measured in centimeters. If the abscissa x changes at a constant rate of 3 cm/min,


Question:

  1. A bug crawls along the graph of \(y={{x}^{2}}+4x+1\), where x and y are measured in centimeters. If the abscissa x changes at a constant rate of 3 cm/min, how fast is the ordinate changing at the point (2, 13).
  2. The area of the triangle is increasing at a rate of 15 in 2 /min, whereas its base is decreasing at a rate of 0.5 in/min. At what rate is the altitude of the triangle changing when the altitude is 8 and the base is 6 in?

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