Exam 2: Limits and Derivatives

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Select the correct Answer for each question. -Evaluate the limit. Select the correct Answer for each question. -Evaluate the limit.

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Select the correct Answer for each question. -Evaluate the limit, if it exists.Select the correct Answer Select the correct Answer for each question. -Evaluate the limit, if it exists.Select the correct Answer

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Sketch the graph of the function Sketch the graph of the function   and evaluate    and evaluate Sketch the graph of the function   and evaluate    Sketch the graph of the function   and evaluate

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The symbol The symbol   an be used to denote the greatest integer function, which is defined by   the greatest integer n such that   Use the graph of the function to find the indicated limit, if it exists.Select the correct Answer  an be used to denote the greatest integer function, which is defined by The symbol   an be used to denote the greatest integer function, which is defined by   the greatest integer n such that   Use the graph of the function to find the indicated limit, if it exists.Select the correct Answer  the greatest integer n such that The symbol   an be used to denote the greatest integer function, which is defined by   the greatest integer n such that   Use the graph of the function to find the indicated limit, if it exists.Select the correct Answer  Use the graph of the function to find the indicated limit, if it exists.Select the correct Answer The symbol   an be used to denote the greatest integer function, which is defined by   the greatest integer n such that   Use the graph of the function to find the indicated limit, if it exists.Select the correct Answer

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Use the graph of Use the graph of   to guess at the limit   if it exists.  to guess at the limit Use the graph of   to guess at the limit   if it exists.  if it exists. Use the graph of   to guess at the limit   if it exists.

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Select the correct Answer for each question. -The cost (in dollars) of producing Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the average rate of change with respect to   when the production level is changed from   to  units of a certain commodity is Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the average rate of change with respect to   when the production level is changed from   to  Find the average rate of change with respect to Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the average rate of change with respect to   when the production level is changed from   to  when the production level is changed from Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the average rate of change with respect to   when the production level is changed from   to  to Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the average rate of change with respect to   when the production level is changed from   to

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If If   use the definition of derivative to find  use the definition of derivative to find If   use the definition of derivative to find

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For what value of the constant For what value of the constant   is the function   continuous on    is the function For what value of the constant   is the function   continuous on    continuous on For what value of the constant   is the function   continuous on    For what value of the constant   is the function   continuous on

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Use the graph of the function to state the value of Use the graph of the function to state the value of   if it exists.Select the correct Answer  if it exists.Select the correct Answer Use the graph of the function to state the value of   if it exists.Select the correct Answer

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Find the derivative of the function and evaluate Find the derivative of the function and evaluate   at the given value of x.  at the given value of x. Find the derivative of the function and evaluate   at the given value of x.

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Evaluate the limit, if it exists.Select the correct Answer Evaluate the limit, if it exists.Select the correct Answer

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  If an equation of the tangent line to the curve   at the point where   is   find If an equation of the tangent line to the curve   If an equation of the tangent line to the curve   at the point where   is   find at the point where   If an equation of the tangent line to the curve   at the point where   is   find is   If an equation of the tangent line to the curve   at the point where   is   find find

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Select the correct Answer for each question. -The cost (in dollars) of producing Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the    units of a certain commodity is Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the    Find the instantaneous rate of change with respect to Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the    when Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the    (This is called the Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the    Select the correct Answer for each question. -The cost (in dollars) of producing   units of a certain commodity is   Find the instantaneous rate of change with respect to   when   (This is called the

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Select the correct Answer for each question. -Find the limit. Select the correct Answer for each question. -Find the limit.

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Select the correct Answer for each question. -If a ball is thrown into the air with a velocity of Select the correct Answer for each question. -If a ball is thrown into the air with a velocity of   its height (in feet) after t seconds is given by   Find the velocity when   Select the correct Answer its height (in feet) after t seconds is given by Select the correct Answer for each question. -If a ball is thrown into the air with a velocity of   its height (in feet) after t seconds is given by   Find the velocity when   Select the correct Answer Find the velocity when Select the correct Answer for each question. -If a ball is thrown into the air with a velocity of   its height (in feet) after t seconds is given by   Find the velocity when   Select the correct Answer Select the correct Answer

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Sketch the graph of the function Sketch the graph of the function   and evaluate    and evaluate Sketch the graph of the function   and evaluate    Sketch the graph of the function   and evaluate

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Select the correct Answer for each question. -You are given that Select the correct Answer for each question. -You are given that   nd   Find the limit  nd Select the correct Answer for each question. -You are given that   nd   Find the limit  Find the limit Select the correct Answer for each question. -You are given that   nd   Find the limit

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Find the numbers, if any, where the function Find the numbers, if any, where the function   is discontinuous. is discontinuous.

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Use the definition of the derivative to find Use the definition of the derivative to find     Select the correct Answer Use the definition of the derivative to find     Select the correct Answer Select the correct Answer

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Select the correct Answer for each question. -Find the limit. Select the correct Answer for each question. -Find the limit.

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