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

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


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

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

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The volume of a spherical cancerous tumor is given by The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E) . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated.


A) The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E)
B) The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E)
C) The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E)
D) The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E)
E) The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.2 cm, with a maximum error in measurement of 0.004 cm, determine the error that might occur when the volume of the tumor is calculated. A) B) C) D) E)

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

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

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Suppose f and g are functions that are differentiable at Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) and that Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) , Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) , Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) , and Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) . Find the value of Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D) . Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D)


A) Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D)
B) Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D)
C) Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D)
D) Suppose f and g are functions that are differentiable at and that , , , and . Find the value of . A) B) C) D)

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

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

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Find the derivative Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D) by solving the given implicit equation for y explicitly in terms of x. Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D)


A) Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D)
B) Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D)
C) Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D)
D) Find the derivative by solving the given implicit equation for y explicitly in terms of x. A) B) C) D)

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

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Suppose Suppose measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, measures the economy's savings corresponding to an income of x billion dollars. Then . The quantity dS/dx is called the marginal propensity to save. For the consumption function find the marginal propensity to save. Round the answer to three decimal places, if necessary. $__________ billion/billion dollars measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, Suppose measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, measures the economy's savings corresponding to an income of x billion dollars. Then . The quantity dS/dx is called the marginal propensity to save. For the consumption function find the marginal propensity to save. Round the answer to three decimal places, if necessary. $__________ billion/billion dollars measures the economy's savings corresponding to an income of x billion dollars. Then Suppose measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, measures the economy's savings corresponding to an income of x billion dollars. Then . The quantity dS/dx is called the marginal propensity to save. For the consumption function find the marginal propensity to save. Round the answer to three decimal places, if necessary. $__________ billion/billion dollars . The quantity dS/dx is called the marginal propensity to save. For the consumption function Suppose measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, measures the economy's savings corresponding to an income of x billion dollars. Then . The quantity dS/dx is called the marginal propensity to save. For the consumption function find the marginal propensity to save. Round the answer to three decimal places, if necessary. $__________ billion/billion dollars find the marginal propensity to save. Round the answer to three decimal places, if necessary. $__________ billion/billion dollars

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Find the first and second derivatives of the function. Find the first and second derivatives of the function. A) B) C) D) E)


A) Find the first and second derivatives of the function. A) B) C) D) E)
B) Find the first and second derivatives of the function. A) B) C) D) E)
C) Find the first and second derivatives of the function. A) B) C) D) E)
D) Find the first and second derivatives of the function. A) B) C) D) E)
E) Find the first and second derivatives of the function. A) B) C) D) E)

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

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Find the derivative of the function by using the rules of differentiation. Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)


A) Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)
B) Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)
C) Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)
D) Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)
E) Find the derivative of the function by using the rules of differentiation. A) B) C) D) E)

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

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The length of each edge of a cube is 18 cm, with a possible error in measurement of 0.01 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated. Round the result to the nearest hundredth, if necessary. An error is approximately The length of each edge of a cube is 18 cm, with a possible error in measurement of 0.01 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated. Round the result to the nearest hundredth, if necessary. An error is approximately __________ . __________ The length of each edge of a cube is 18 cm, with a possible error in measurement of 0.01 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated. Round the result to the nearest hundredth, if necessary. An error is approximately __________ . .

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Find the slope and an equation of the tangent line to the graph of the function f at the specified point. Find the slope and an equation of the tangent line to the graph of the function f at the specified point. A) B) C) D)


A) Find the slope and an equation of the tangent line to the graph of the function f at the specified point. A) B) C) D)
B) Find the slope and an equation of the tangent line to the graph of the function f at the specified point. A) B) C) D)
C) Find the slope and an equation of the tangent line to the graph of the function f at the specified point. A) B) C) D)
D) Find the slope and an equation of the tangent line to the graph of the function f at the specified point. A) B) C) D)

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

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The distance s (in feet) covered by a car after t sec is given by The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E) . Find a general expression for the car's acceleration at any time t The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E) .


A) The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E)
B) The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E)
C) The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E)
D) The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E)
E) The distance s (in feet) covered by a car after t sec is given by . Find a general expression for the car's acceleration at any time t . A) B) C) D) E)

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

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During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E) . What is the hammer's velocity when it strikes the ground? What is its acceleration?


A) During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E)
B) During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E)
C) During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E)
D) During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E)
E) During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance the hammer falls in t sec is . What is the hammer's velocity when it strikes the ground? What is its acceleration? A) B) C) D) E)

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

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Find the derivative of the function by using the rules of differentiation. Find the derivative of the function by using the rules of differentiation. A) B) C) D)


A) Find the derivative of the function by using the rules of differentiation. A) B) C) D)
B) Find the derivative of the function by using the rules of differentiation. A) B) C) D)
C) Find the derivative of the function by using the rules of differentiation. A) B) C) D)
D) Find the derivative of the function by using the rules of differentiation. A) B) C) D)

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

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The demand equation for the Sicard wristwatch is given by The demand equation for the Sicard wristwatch is given by where x (measured in units of a thousand) is the quantity demanded each week and p is the unit price in dollars. Find the rate of change of the quantity demanded of the wristwatches with respect to the unit price when the unit price is $35. Round your answer to the nearest whole number. __________ wristwatches/(dollar price increase) where x (measured in units of a thousand) is the quantity demanded each week and p is the unit price in dollars. Find the rate of change of the quantity demanded of the wristwatches with respect to the unit price when the unit price is $35. Round your answer to the nearest whole number. __________ wristwatches/(dollar price increase)

Correct Answer

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Find Find by implicit differentiation. by implicit differentiation. Find by implicit differentiation.

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

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Find the first and second derivatives of the function. Find the first and second derivatives of the function. A) B) C) D) E)


A) Find the first and second derivatives of the function. A) B) C) D) E)
B) Find the first and second derivatives of the function. A) B) C) D) E)
C) Find the first and second derivatives of the function. A) B) C) D) E)
D) Find the first and second derivatives of the function. A) B) C) D) E)
E) Find the first and second derivatives of the function. A) B) C) D) E)

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

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The supply equation for a certain brand of radio is given by The supply equation for a certain brand of radio is given by , where x is the quantity supplied and p is the unit price in dollars. Use differentials to approximate the change in price when the quantity supplied is increased from 10,000 units to 10,500 units. A) $0.75 B) $7.00 C) $1.00 D) $0.50 E) $6.50 , where x is the quantity supplied and p is the unit price in dollars. Use differentials to approximate the change in price when the quantity supplied is increased from 10,000 units to 10,500 units.


A) $0.75
B) $7.00
C) $1.00
D) $0.50
E) $6.50

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

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