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Differentiate the function Differentiate the function   . ​ A)    B)    C)    D)    E)   . ​


A) Differentiate the function   . ​ A)    B)    C)    D)    E)
B) Differentiate the function   . ​ A)    B)    C)    D)    E)
C) Differentiate the function   . ​ A)    B)    C)    D)    E)
D) Differentiate the function   . ​ A)    B)    C)    D)    E)
E) Differentiate the function   . ​ A)    B)    C)    D)    E)

F) B) and D)
G) A) and B)

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Differentiate the function Differentiate the function   . ​ A)    B)    C)    D)    E)   . ​


A) Differentiate the function   . ​ A)    B)    C)    D)    E)
B) Differentiate the function   . ​ A)    B)    C)    D)    E)
C) Differentiate the function   . ​ A)    B)    C)    D)    E)
D) Differentiate the function   . ​ A)    B)    C)    D)    E)
E) Differentiate the function   . ​ A)    B)    C)    D)    E)

F) B) and D)
G) A) and D)

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Find Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)   in terms of x and y. ​ Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)


A) Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)
B) Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)
C) Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)
D) Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)
E) Find   in terms of x and y. ​   ​ A)    B)    C)    D)    E)

F) A) and D)
G) B) and C)

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Find an equation of the tangent line to the graph of the function Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)   at the point Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)   . ​​


A) Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)
B) Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)
C) Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)
D) Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)
E) Find an equation of the tangent line to the graph of the function   at the point   . ​​ A)    B)    C)    D)    E)

F) A) and B)
G) C) and D)

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Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​ Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents.


A) Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents. and Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents.
B) Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents.
C) Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents. and Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents.
D) Determine all values of x, (if any) ,at which the graph of the function has a horizontal tangent. ​   ​ A)    and   B)    C)    and   D)    E) The graph has no horizontal tangents.
E) The graph has no horizontal tangents.

F) B) and D)
G) A) and C)

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Evaluate Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)   for the equation Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)   at the given point Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)   .Round your answer to two decimal places if necessary. ​


A) Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)
B) Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)
C) Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)
D) Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)
E) Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​ A)    B)    C)    D)    E)

F) None of the above
G) A) and E)

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A point is moving along the graph of the function A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)   such that A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)   centimeters per second.Find A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)   when A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)   . ​


A) A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)
B) A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)
C) A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)
D) A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)
E) A point is moving along the graph of the function   such that   centimeters per second.Find   when   . ​ A)    B)    C)    D)    E)

F) None of the above
G) A) and E)

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Find the derivative of the function. ​ Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)


A) Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)
B) Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)
C) Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)
D) Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)
E) Find the derivative of the function. ​   ​ A)    B)    C)    D)    E)

F) A) and E)
G) B) and D)

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Find the derivative of the function Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)   .Simplify your answer. ​


A) Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)
B) Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)
C) Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)
D) Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)
E) Find the derivative of the function   .Simplify your answer. ​ A)    B)    C)    D)    E)

F) A) and E)
G) A) and D)

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Find the derivative of the function Find the derivative of the function   . ​ A)    B)    C)    D)    E)   . ​


A) Find the derivative of the function   . ​ A)    B)    C)    D)    E)
B) Find the derivative of the function   . ​ A)    B)    C)    D)    E)
C) Find the derivative of the function   . ​ A)    B)    C)    D)    E)
D) Find the derivative of the function   . ​ A)    B)    C)    D)    E)
E) Find the derivative of the function   . ​ A)    B)    C)    D)    E)

F) A) and B)
G) All of the above

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Use implicit differentiation to find an equation of the tangent line to the ellipse Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)   at Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)   . ​


A) Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)
B) Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)
C) Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)
D) Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)
E) Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . ​ A)    B)    C)    D)    E)

F) A) and E)
G) A) and B)

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Find an equation to the tangent line for the graph of f at the given point. ​ Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)   , Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)


A) Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)
B) Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)
C) Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)
D) Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)
E) Find an equation to the tangent line for the graph of f at the given point. ​   ,   ​ A)    B)    C)    D)    E)

F) A) and B)
G) C) and E)

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Find the derivative of the following function using the limiting process. ​ Find the derivative of the following function using the limiting process. ​   ​ A) -3 B)    C)    D)    E)


A) -3
B) Find the derivative of the following function using the limiting process. ​   ​ A) -3 B)    C)    D)    E)
C) Find the derivative of the following function using the limiting process. ​   ​ A) -3 B)    C)    D)    E)
D) Find the derivative of the following function using the limiting process. ​   ​ A) -3 B)    C)    D)    E)
E) Find the derivative of the following function using the limiting process. ​   ​ A) -3 B)    C)    D)    E)

F) B) and E)
G) B) and C)

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Find the slope of the graph of the function at the given value. ​ Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)   at Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)


A) Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)
B) Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)
C) Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)
D) Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)
E) Find the slope of the graph of the function at the given value. ​   at   ​ A)    B)    C)    D)    E)

F) All of the above
G) None of the above

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​For what positive value of ​For what positive value of   does the tangent line to the curve   intersect the   -axis at the point   ? ​ A) ​4.076 B) 3.375 C) ​3.638 D) 4.383 does the tangent line to the curve ​For what positive value of   does the tangent line to the curve   intersect the   -axis at the point   ? ​ A) ​4.076 B) 3.375 C) ​3.638 D) 4.383 intersect the ​For what positive value of   does the tangent line to the curve   intersect the   -axis at the point   ? ​ A) ​4.076 B) 3.375 C) ​3.638 D) 4.383 -axis at the point ​For what positive value of   does the tangent line to the curve   intersect the   -axis at the point   ? ​ A) ​4.076 B) 3.375 C) ​3.638 D) 4.383 ? ​


A) ​4.076
B) 3.375
C) ​3.638
D) 4.383

E) C) and D)
F) A) and B)

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Use implicit differentiation to find Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)   at the point Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)   . ​ Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)


A) Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)
B) Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)
C) Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)
D) Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)
E) Use implicit differentiation to find   at the point   . ​   ​ A)    B)    C)    D)    E)

F) A) and C)
G) A) and B)

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Evaluate the derivative of the function Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)   at the point Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)   . ​


A) Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)
B) Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)
C) ​ Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)
D) Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)
E) Evaluate the derivative of the function   at the point   . ​ A)    B)    C) ​   D)    E)

F) B) and D)
G) A) and E)

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Find the rate of change of the distance D between the origin and a moving point on the graph of Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)   if Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)   centimeters per second. ​


A) Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)
B) Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)
C) Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)
D) Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)
E) Find the rate of change of the distance D between the origin and a moving point on the graph of   if   centimeters per second. ​ A)    B)    C)    D)    E)

F) A) and E)
G) C) and E)

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Suppose that an automobile's velocity starting from rest is Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1  where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​


A) 1.6 Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1
B) 0.7 Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1
C) 0.4 Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1
D) 0.2 Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1
E) 5.1 Suppose that an automobile's velocity starting from rest is   where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place. ​ A) 1.6   B) 0.7   C) 0.4   D) 0.2   E) 5.1

F) D) and E)
G) A) and D)

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A point is moving along the graph of the function A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)   such that A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)   centimeters per second.Find A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)   when x = 1. ​


A) A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)
B) A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)
C) A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)
D) A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)
E) A point is moving along the graph of the function   such that   centimeters per second.Find   when x = 1. ​ A)    B)    C)    D)    E)

F) C) and E)
G) A) and D)

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