CLEp Calculus - Review 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?

¶/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 - x² and g(x) = ln(x) ?

x = 2.3
x = 1.59
x = 1.32
x = 1.44
x = 2.14

Question 4:

What is the relative extremum of the function f(x) on the (0 , ∞) interval?

x = 2
x = 3/2
x = 1
x = 1/2
x = 1/4

Question 5:

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CLEP Calculus Questions #3

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