Question 1

Evaluate: ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
A) ​   
B) ​   
C) ​   
D) ​

Question 2

Use the properties of summation and Theorem 5.2 to evaluate the sum. ​   ​

Accepted Answer

A) 3,682 
B) 4,354 
C) 8,414 
D) 3,654 
E) 42,924 
A) 3,682 
B) 4,354 
C) 8,414 
D) 3,654 
E) 42,924

Question 3

​If   and   ,what is the value of   . ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
A) ​   
B) ​   
C) ​   
D) ​

Question 4

The force F (in newtons)of a hydraulic cylinder in a press is proportional to the square of sec x where x is the distance (in meters)that the cylinder is extended in its cycle.The domain of F is   and   .Find the average force exerted by the press over the interval   .Round your answer to the nearest whole number. ​

Accepted Answer

A) 83 newtons 
B) 41 newtons 
C) 203 newtons 
D) 68 newtons 
E) 248 newtons 
A) 83 newtons 
B) 41 newtons 
C) 203 newtons 
D) 68 newtons 
E) 248 newtons

Question 5

Evaluate the definite integral of the algebraic function. ​   ​
Use a graphing utility to verify your results.
​

Accepted Answer

A) -140 
B) 140 
C) 292 
D) 508 
E) -1,080 
A) -140 
B) 140 
C) 292 
D) 508 
E) -1,080

Question 6

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 7

Evaluate the integral.   given,   ,   ,   ,   .

Accepted Answer

A) -41 
B) -673 
C) -42 
D) -546 
E) -537 
A) -41 
B) -673 
C) -42 
D) -546 
E) -537

Question 8

Find the integral   . ​

Accepted Answer

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

Question 9

Find the following indefinite integral. ​   ​

Accepted Answer

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

Question 10

Find the indefinite integral   . ​

Accepted Answer

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

Question 11

Find the sum given below. ​   ​

Accepted Answer

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

Question 12

Use the properties of summation and Theorem 5.2 to evaluate the sum. ​   ​

Accepted Answer

A) ​638 
B) ​506 
C) ​528 
D) ​1,232 
E) ​385 
A) ​638 
B) ​506 
C) ​528 
D) ​1,232 
E) ​385

Question 13

Suppose that the probability that a person will remember between 100a% and 100b% of material learned in an experiment is   where x represents the proportion remembered.Determine from the figure below,the probability that a randomly chosen individual will recall between 50% and 75% of the material? Express your answer as a percent rounded to three decimal places. ​   ​

Accepted Answer

A) 19.900% 
B) 12.500% 
C) 11.000% 
D) 35.300% 
E) 106.600% 
A) 19.900% 
B) 12.500% 
C) 11.000% 
D) 35.300% 
E) 106.600%

Question 14

Find the sum given below. ​   ​

Accepted Answer

A) 194 
B) 198 
C) 186 
D) 217 
E) 190 
A) 194 
B) 198 
C) 186 
D) 217 
E) 190

Question 15

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 16

Find the sum given below. ​   ​

Accepted Answer

A) -63 
B) -15 
C) -23 
D) -77 
E) -47 
A) -63 
B) -15 
C) -23 
D) -77 
E) -47

Question 17

Find the area of the region given below bounded by the graph of   . ​   ​

Accepted Answer

A) 6 
B)    
C)    
D) 7 
E)    
A) 6 
B)    
C)    
D) 7 
E)

Question 18

The graph of the function   is given below.Which of the following definite integrals yields the area of the shaded region? ​   ​

Accepted Answer

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

Question 19

The acceleration of a particle is given as   cm/secS1U1P12S1S1P0 on the closed interval [0,3] as illustrated on the graph shown.
​  
-Find the velocity of the particle at any time t ​if   cm/sec.

Accepted Answer

The answer of The acceleration of a particle is given...

Question 20

Evaluate the definite integral of a function   .Use a graphing utility to verify your results. ​

Accepted Answer

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

Evaluate:

Use the properties of summation and Theorem 5.2 to evaluate the sum.

If and ,what is the value of .

Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Find the indefinite integral.

Evaluate the integral. given, , , , .

Find the integral .

Find the following indefinite integral.

Find the indefinite integral .

Find the sum given below.

Use the properties of summation and Theorem 5.2 to evaluate the sum.

Find the sum given below.

Find the indefinite integral.

Find the sum given below.

Find the area of the region given below bounded by the graph of .

The graph of the function is given below.Which of the following definite integrals yields the area of the shaded region?

The acceleration of a particle is given as cm/sec² on the closed interval [0,3] as illustrated on the graph shown. -Find the velocity of the particle at any time t if cm/sec.

Evaluate the definite integral of a function .Use a graphing utility to verify your results.

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 5: Integration

Evaluate: ​ ​

Use the properties of summation and Theorem 5.2 to evaluate the sum. ​ ​

​If and ,what is the value of . ​

Evaluate the definite integral of the algebraic function. ​ ​ Use a graphing utility to verify your results. ​

Find the indefinite integral. ​ ​

Evaluate the integral. given, , , , .

Find the integral . ​

Find the following indefinite integral. ​ ​

Find the indefinite integral . ​

Find the sum given below. ​ ​

Use the properties of summation and Theorem 5.2 to evaluate the sum. ​ ​

Find the sum given below. ​ ​

Find the indefinite integral. ​ ​

Find the sum given below. ​ ​

Find the area of the region given below bounded by the graph of . ​ ​

The graph of the function is given below.Which of the following definite integrals yields the area of the shaded region? ​ ​

The acceleration of a particle is given as cm/sec2 on the closed interval [0,3] as illustrated on the graph shown. ​ -Find the velocity of the particle at any time t ​if cm/sec.

Evaluate the definite integral of a function .Use a graphing utility to verify your results. ​

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Evaluate:

Use the properties of summation and Theorem 5.2 to evaluate the sum.

If and ,what is the value of .

Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Find the indefinite integral.

Find the integral .

Find the following indefinite integral.

Find the indefinite integral .

Find the sum given below.

Use the properties of summation and Theorem 5.2 to evaluate the sum.

Find the sum given below.

Find the indefinite integral.

Find the sum given below.

Find the area of the region given below bounded by the graph of .

The graph of the function is given below.Which of the following definite integrals yields the area of the shaded region?

The acceleration of a particle is given as cm/sec² on the closed interval [0,3] as illustrated on the graph shown. -Find the velocity of the particle at any time t if cm/sec.

Evaluate the definite integral of a function .Use a graphing utility to verify your results.