5. Find the points on the curve y=2x3+3x2−12x+1 where the tangent line is horizontal. 2. A coal-burning electrical gener
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5. Find the points on the curve y=2x3+3x2−12x+1 where the tangent line is horizontal. 2. A coal-burning electrical gener
5. Find the points on the curve y=2x3+3x2−12x+1 where the tangent line is horizontal. 2. A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The concentration C(x), in parts per million, is given approximately by C(x)=x20.1 where x is the distance from the plant in miles. Find the instantaneous rate of change of concentration at a. x=1 mile b. x=2 miles 3. Suppose that a person leam y items in x hours, as given by y=50x,0≤x≤9 Find the rate of learning at the end of a. 1 hour b. 9 hours 4. A person x inches tall has a pulse rate of y beats per minute, as given approximately by y=590x−1/2,30≤x≤75 What is the instantaneous rate of change of pulse rate at the a. 36 -inch level? b. 64- inch level?
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