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CLEP Calculus Questions #3
Question 1: A cylindrical barrel is filled with water at a rate of .01 m
^{3}
/s. At what rate is the level of the water increasing if the radius of the barrel is 1m?
¶/100 m/s
10/¶ m/s
10¶ m/s
.01/¶ m/s
.1/¶ m/s
Question 2: Which of the following is the equation of the tangent to the graph of f(x) = sin(x) at x = ¶/3?
2y - √3 = x - ¶/3
2y - 1 = x - ¶/3
2y - √3 = x - 1/3
2y - 1 = √3 (x - ¶/3)
y - √3 = x - ¶
Question 3: What is the solution of the equation f(x) = g(x) if
f(x) = 1 + x - x
^{2}
and g(x) = ln(x) ?
x = 2.3
x = 1.59
x = 1.32
x = 1.44
x = 2.14
Question 4:
At which value of x in the (0, infinity) interval does a relative extremum of the function f(x) occur?
x = 2
x = 3/2
x = 1
x = 1/2
x = 1/4
Question 5: