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Find the points on the curve Find the points on the curve where the tangent is horizontal. A) B) C) D) E) where the tangent is horizontal.


A) Find the points on the curve where the tangent is horizontal. A) B) C) D) E)
B) Find the points on the curve where the tangent is horizontal. A) B) C) D) E)
C) Find the points on the curve where the tangent is horizontal. A) B) C) D) E)
D) Find the points on the curve where the tangent is horizontal. A) B) C) D) E)
E) Find the points on the curve where the tangent is horizontal. A) B) C) D) E)

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

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Find the derivative of the function. Find the derivative of the function.

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


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

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

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A

Differentiate. Differentiate.

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A spherical balloon is being inflated. Find the rate of increase of the surface area A spherical balloon is being inflated. Find the rate of increase of the surface area with respect to the radius r when r = ft. with respect to the radius r when r = A spherical balloon is being inflated. Find the rate of increase of the surface area with respect to the radius r when r = ft. ft.

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Find the second derivative of the function. Find the second derivative of the function. A) B) C) D)


A) Find the second derivative of the function. A) B) C) D)
B) Find the second derivative of the function. A) B) C) D)
C) Find the second derivative of the function. A) B) C) D)
D) Find the second derivative of the function. A) B) C) D)

E) A) and D)
F) All of the above

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If a snowball melts so that its surface area decreases at a rate of If a snowball melts so that its surface area decreases at a rate of , find the rate at which the diameter decreases when the diameter is cm. , find the rate at which the diameter decreases when the diameter is If a snowball melts so that its surface area decreases at a rate of , find the rate at which the diameter decreases when the diameter is cm. cm.

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If If , find and . A) B) C) D) E) , find If , find and . A) B) C) D) E) and If , find and . A) B) C) D) E) .


A) If , find and . A) B) C) D) E)
B) If , find and . A) B) C) D) E)
C) If , find and . A) B) C) D) E)
D) If , find and . A) B) C) D) E)
E) If , find and . A) B) C) D) E)

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

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B, D

The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the bottom of the ladder is 1.5 m from the wall, it slides away from the wall at a rate of 0.3 m/s. How long is the ladder?


A) 3.9 m
B) 3.4 m
C) 4.4 m
D) 2.9 m
E) 2.4 m

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

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Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)


A) Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)
B) Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)
C) Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)
D) Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)
E) Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. A) B) C) D) E)

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

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Find Find in terms of . A) B) C) D) E) in terms of Find in terms of . A) B) C) D) E) . Find in terms of . A) B) C) D) E)


A) Find in terms of . A) B) C) D) E)
B) Find in terms of . A) B) C) D) E)
C) Find in terms of . A) B) C) D) E)
D) Find in terms of . A) B) C) D) E)
E) Find in terms of . A) B) C) D) E)

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

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The mass of the part of a metal rod that lies between its left end and a point x meters to the right is The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E) . Find the linear density when x is The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E) m.


A) The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E)
B) The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E)
C) The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E)
D) The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E)
E) The mass of the part of a metal rod that lies between its left end and a point x meters to the right is . Find the linear density when x is m. A) B) C) D) E)

F) D) and E)
G) All of the above

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Two cars start moving from the same point. One travels south at Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E) mi/h and the other travels west at Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E) mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth.


A) Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E)
B) Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E)
C) Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E)
D) Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E)
E) Two cars start moving from the same point. One travels south at mi/h and the other travels west at mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. A) B) C) D) E)

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

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Find Find by implicit differentiation. A) B) C) D) by implicit differentiation. Find by implicit differentiation. A) B) C) D)


A) Find by implicit differentiation. A) B) C) D)
B) Find by implicit differentiation. A) B) C) D)
C) Find by implicit differentiation. A) B) C) D)
D) Find by implicit differentiation. A) B) C) D)

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

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Use the linear approximation of the function Use the linear approximation of the function at to approximate the number . A) B) C) D) E) at Use the linear approximation of the function at to approximate the number . A) B) C) D) E) to approximate the number Use the linear approximation of the function at to approximate the number . A) B) C) D) E) .


A) Use the linear approximation of the function at to approximate the number . A) B) C) D) E)
B) Use the linear approximation of the function at to approximate the number . A) B) C) D) E)
C) Use the linear approximation of the function at to approximate the number . A) B) C) D) E)
D) Use the linear approximation of the function at to approximate the number . A) B) C) D) E)
E) Use the linear approximation of the function at to approximate the number . A) B) C) D) E)

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

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Calculate Calculate . A) B) C) D) E) None of these . Calculate . A) B) C) D) E) None of these


A) Calculate . A) B) C) D) E) None of these
B) Calculate . A) B) C) D) E) None of these
C) Calculate . A) B) C) D) E) None of these
D) Calculate . A) B) C) D) E) None of these
E) None of these

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

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Find an equation of the tangent line to the graph of Find an equation of the tangent line to the graph of at the point at the point Find an equation of the tangent line to the graph of at the point

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A car leaves an intersection traveling west. Its position 4 sec later is 26 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 26 ft from the intersection. If the speeds of the cars at that instant of time are 12 ft/sec and 10 ft/sec, respectively, find the rate at which the distance between the two cars is changing. Round to the nearest tenth if necessary.


A) 15.6 ft/sec
B) 3.7 ft/sec
C) 3.1 ft/sec
D) 36.8 ft/sec

E) None of the above
F) C) and D)

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A

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


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

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

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The height (in meters) of a projectile shot vertically upward from a point The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E) m above ground level with an initial velocity of 25.48 m/s is The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E) after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height?


A) The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E)
B) The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E)
C) The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E)
D) The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E)
E) The height (in meters) of a projectile shot vertically upward from a point m above ground level with an initial velocity of 25.48 m/s is after t seconds. a) When does the projectile reach its maximum height? (b) What is the maximum height? A) B) C) D) E)

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

Correct Answer

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Showing 1 - 20 of 151

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