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Let denote m(x) Let denote the slope of the tangent line to the curve f ( x ) = x 3 4 x 2 +

  1. Let denote m(x) Let denote the slope of the tangent line to the curve f(x)=x34x2+5 . Find the instantaneous rate of change of the slope of the tangent line m(x) at x=2
  2. A conical cup is 40 cm tall with a radius of 15 cm. The cup is being filled with water at a rate of 9/4 cm/sec. How fast is the water level rising when the water level is 3 cm?

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