Exam 2: Limits and Derivatives

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Use the graph of the function to find each limit. Use the graph of the function to find each limit.

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If a rock is thrown upward on the planet Mars with a velocity of 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  its height in meters t seconds later is given by 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  Find the average velocity over the time interval 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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Select the correct Answer for each question. -Evaluate Select the correct Answer for each question. -Evaluate

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How close to 2 do we have to take x so that How close to 2 do we have to take x so that   is within a distance of 0.01 from 13? is within a distance of 0.01 from 13?

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Find the limi Find the limi   if it exists. if it exists.

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You are given that You are given that   and   Find the limit   Select the correct Answer and You are given that   and   Find the limit   Select the correct Answer Find the limit You are given that   and   Find the limit   Select the correct Answer Select the correct Answer

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Let Let   a.Sketch the graph of b.For what values of x is f differentiable? c.Find a formula for  a.Sketch the graph of b.For what values of x is f differentiable? c.Find a formula for Let   a.Sketch the graph of b.For what values of x is f differentiable? c.Find a formula for

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Select the correct Answer for each question. -Let Select the correct Answer for each question. -Let   Find the following limits.  Find the following limits. Select the correct Answer for each question. -Let   Find the following limits.

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

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Find the limit. Find the limit.

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

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Select the correct Answer for each question. -Find the limit. Select the correct Answer for each question. -Find the limit.   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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Select the correct Answer for each question. -Sketch the graph of the function Select the correct Answer for each question. -Sketch the graph of the function   and evaluate    and evaluate Select the correct Answer for each question. -Sketch the graph of the function   and evaluate    Select the correct Answer for each question. -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 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. If the machinist is allowed an error tolerance of 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. 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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Select the correct Answer for each question. -The symbol Select the correct Answer for each question. -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.  an be used to denote the greatest integer function, which is defined by Select the correct Answer for each question. -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.  the greatest integer Select the correct Answer for each question. -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.  such that Select the correct Answer for each question. -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.  Use the graph of the function to find the indicated limit, if it exists. Select the correct Answer for each question. -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 Find the numbers, if any, where the function   is discontinuous.Select the correct Answer is discontinuous.Select the correct Answer

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

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The position of a car is given by the values in the following table. 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 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 Estimate the instantaneous velocity when 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 by averaging the velocities for the periods

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Select the correct Answer for each question. -If Select the correct Answer for each question. -If

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