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CLEP Calculus Questions #3



Question 1: A cylindrical barrel is filled with water at a rate of .01 m3/s. At what rate is the level of the water increasing if the radius of the barrel is 1m?









Question 2: Which of the following is the equation of the tangent to the graph of f(x) = sin(x) at x = ¶/3?









Question 3: What is the solution of the equation f(x) = g(x) if
f(x) = 1 + x - x2 and g(x) = ln(x) ?








Question 4:


At which value of x in the (0, infinity) interval does a relative extremum of the function f(x) occur?









Question 5: