Exam 2: Limits and Derivatives
Exam 1: Functions and Models160 Questions
Exam 2: Limits and Derivatives160 Questions
Exam 3: Differentiation Rules160 Questions
Exam 4: Applications of Differentiation159 Questions
Exam 5: Integrals160 Questions
Exam 6: Applications of Integration160 Questions
Exam 7: Techniques of Integration160 Questions
Exam 8: Further Applications of Integration160 Questions
Exam 9: Differential Equations160 Questions
Exam 10: Parametric Equations and Polar Coordinates160 Questions
Exam 11: Infinite Sequences and Series160 Questions
Exam 12: Vectors and the Geometry of Space159 Questions
Exam 13: Vector Functions160 Questions
Exam 14: Partial Derivatives158 Questions
Exam 15: Multiple Integrals160 Questions
Exam 16: Vector Calculus160 Questions
Exam 17: Second-Order Differential Equations160 Questions
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If a rock is thrown upward on the planet Mars with a velocity of
its height in meters t seconds later is given by
Find the average velocity over the time interval 
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How close to 2 do we have to take x so that
is within a distance of 0.01 from 13?
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You are given that
and
Find the limit
Select the correct Answer
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Let
a.Sketch the graph of
b.For what values of x is f differentiable?
c.Find a formula for 
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-Let
Find the following limits. 
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-Find the limit
, if it exists.Select the correct Answer
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-Find the limit.
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-Find the limit. 
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-Sketch the graph of the function
and evaluate

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Select the correct Answer for each question.
-A machinist is required to manufacture a circular metal disk with area
If the machinist is allowed an error tolerance of
in the area of the disk, how close to the ideal radius must the machinist control the radius? Round yourAnswer to the nearest hundred thousandth.
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-The symbol
an be used to denote the greatest integer function, which is defined by
the greatest integer
such that
Use the graph of the function to find the indicated limit, if it exists. 
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Find the numbers, if any, where the function
is discontinuous.Select the correct Answer
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-Evaluate the limit, if it exists. 
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The position of a car is given by the values in the following table.
Estimate the instantaneous velocity when
by averaging the velocities for the periods
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