Question 1

If a stone is dropped from a height of Variable 972 isn t defined feet, its height after t seconds is given by   . Find the stone s velocity at time   .

Accepted Answer

A) v = 40 ft/s 
B) v = 400 ft/s 
C) v = 80 ft/s 
D) v = 160 ft/s 
E) v = 640 ft/s 
A) v = 40 ft/s 
B) v = 400 ft/s 
C) v = 80 ft/s 
D) v = 160 ft/s 
E) v = 640 ft/s

Question 2

Compute the derivative function   algebraically.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Match between columns
                        Premises: 11ebfe6a_2cb8_f7c5_96cc_1115101e3dc4_TBX8650_11
11ebfe6a_2cb9_1ed9_96cc_018dbb04b138_TBX8650_11
11ebfe6a_2cb8_f7c1_96cc_25f9ae0d45cd_TBX8650_11

Accepted Answer

The Answer of 11ebfe6a_2cb9_1edc_96cc_172dc3dc8f6f_TBX8650_11 and 11ebfe6a_2cb8_f7c4_96cc_553943e50203_TBX8650_11 and 11ebfe6a_2cb8_f7c3_96cc_3d1df6b824c7_TBX8650_11 and 11ebfe6a_2cb8_f7c6_96cc_3369c7af31ae_TBX8650_11 is...

Question 4

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level   .   
Select your answer rounded to the nearest tenth.

Accepted Answer

A) 71 
B) 70.2 
C) 70 
D) 71.2 
E) 69 
A) 71 
B) 70.2 
C) 70 
D) 71.2 
E) 69

Question 5

Estimate the limit numerically.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Calculate the average rate of change of the given function (Inflation(%))over the interval   .   Please enter your answer as a fraction without the units.

Accepted Answer

The answer of Calculate the average rate of change of...

Question 7

If   is the Dow Jones Average at time   and   , is it possible that the Dow will fluctuate indefinitely into the future?

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 8

Calculate the average rate of change of the given function over the interval   .

Accepted Answer

A) 30.25 
B) 121 
C) 14 
D) -121 
E) 56 
A) 30.25 
B) 121 
C) 14 
D) -121 
E) 56

Question 9

The function   represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Find the average rates of change of R ( t )over the time intervals t , t + h , where t is as indicated and h = 1, 0.1, 0.01, and 0.001 days. Hence, estimate (using h = 0.0001)the instantaneous rate of change of R at time t = 10. Please round the instantaneous rate to the nearest whole number.

Accepted Answer

A) 24 
B) 19 
C) 21 
D) 23 
E) 22 
A) 24 
B) 19 
C) 21 
D) 23 
E) 22

Question 10

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level   .   
Enter your answer as a number without the units rounded to the nearest tenth.

Accepted Answer

The answer of The function given below gives the cost...

Question 11

Use the graph to compute

Accepted Answer

A)    
B)    
C)    
D)    
E) does not exist 
A)    
B)    
C)    
D)    
E) does not exist

Question 12

Use the graph to compute

Accepted Answer

A)    
B)    
C)    
D)    
E) does not exist 
A)    
B)    
C)    
D)    
E) does not exist

Question 13

On January 1, 1996, America Online was the largest on-line service provider, with 4 million subscribers, and it was adding new subscribers at a rate of 48,000 per week. If   is the number of America Online subscribers t weeks after January 1, 1996, what do the given data tell you about values of the function   and its derivative?

Accepted Answer

A) A (0)= 0.048, A '(0)= 4 
B) A (0)= 3.5, A '(0)= 0.048 
C) A (0)= 4.5, A '(0)= 0.047 
D) A (0)= 8, A '(0)= 0.048 
E) A (0)= 4, A '(0)= 0.048 
A) A (0)= 0.048, A '(0)= 4 
B) A (0)= 3.5, A '(0)= 0.048 
C) A (0)= 4.5, A '(0)= 0.047 
D) A (0)= 8, A '(0)= 0.048 
E) A (0)= 4, A '(0)= 0.048

Question 14

The graph of a function   is given. Determine whether   is continuous on its domain.

Accepted Answer

A) Discontinuous 
B) Continuous 
A) Discontinuous 
B) Continuous

Question 15

The function   represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Estimate (using h = 0.0001)the instantaneous rate of change of R at time t = 5. Please select the correct answer rounded to the nearest whole number.

Accepted Answer

A) 596 
B) 605 
C) 603 
D) 600 
E) 602 
A) 596 
B) 605 
C) 603 
D) 600 
E) 602

Question 16

Determine what, if any, value to assign to f ( a )to make f continuous at x = a .   ;

Accepted Answer

A)    
B)    
C)    
D)    
E) No value of f (0)will make it continuous at 0. 
A)    
B)    
C)    
D)    
E) No value of f (0)will make it continuous at 0.

Question 17

Calculate the limit algebraically.

Accepted Answer

A) 11 
B) 1.2 
C) -5 
D) 2.2 
E) 6 
A) 11 
B) 1.2 
C) -5 
D) 2.2 
E) 6

Question 18

Compute   for   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Calculate the average rate of change of the given function over the interval   .

Accepted Answer

A) 360 
B) 6 
C) -36 
D) -60 
E) -6 
A) 360 
B) 6 
C) -36 
D) -60 
E) -6

Question 20

Estimate the slope of the tangent to the graph of the following function at the point   .   Please round the answer to the nearest whole number.

Accepted Answer

The answer of Estimate the slope of the tangent to...

If a stone is dropped from a height of Variable 972 isn t defined feet, its height after t seconds is given by . Find the stone s velocity at time .

Compute the derivative function algebraically.

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level . Select your answer rounded to the nearest tenth.

Estimate the limit numerically.

If is the Dow Jones Average at time and , is it possible that the Dow will fluctuate indefinitely into the future?

Calculate the average rate of change of the given function over the interval .

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level . Enter your answer as a number without the units rounded to the nearest tenth.

Use the graph to compute

Use the graph to compute

The graph of a function is given. Determine whether is continuous on its domain.

The function represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Estimate (using h = 0.0001)the instantaneous rate of change of R at time t = 5. Please select the correct answer rounded to the nearest whole number.

Determine what, if any, value to assign to f ( a )to make f continuous at x = a . ;

Calculate the limit algebraically.

Compute for .

Calculate the average rate of change of the given function over the interval .

Estimate the slope of the tangent to the graph of the following function at the point . Please round the answer to the nearest whole number.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

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Exam 3: Introduction to the Derivative

If a stone is dropped from a height of Variable 972 isn t defined feet, its height after t seconds is given by . Find the stone s velocity at time .

Compute the derivative function algebraically.

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level . Select your answer rounded to the nearest tenth.

Estimate the limit numerically.

Calculate the average rate of change of the given function (Inflation(%))over the interval . Please enter your answer as a fraction without the units.

If is the Dow Jones Average at time and , is it possible that the Dow will fluctuate indefinitely into the future?

Calculate the average rate of change of the given function over the interval .

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the total cost at the production level . Enter your answer as a number without the units rounded to the nearest tenth.

Use the graph to compute

Use the graph to compute

The graph of a function is given. Determine whether is continuous on its domain.

The function represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Estimate (using h = 0.0001)the instantaneous rate of change of R at time t = 5. Please select the correct answer rounded to the nearest whole number.

Determine what, if any, value to assign to f ( a )to make f continuous at x = a . ;

Calculate the limit algebraically.

Compute for .

Calculate the average rate of change of the given function over the interval .

Estimate the slope of the tangent to the graph of the following function at the point . Please round the answer to the nearest whole number.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters