Question 1

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Accepted Answer

A) 667 
B) 552 
C) 575 
D) 1311 
E) 391 
A) 667 
B) 552 
C) 575 
D) 1311 
E) 391 A

Question 2

Find the indefinite integral

Accepted Answer

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

Question 3

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Accepted Answer

A) 1156 
B) 1190 
C) 2108 
D) 2244 
E) 323 
A) 1156 
B) 1190 
C) 2108 
D) 2244 
E) 323 C

Question 4

Find the indefinite integral

Accepted Answer

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

Question 5

Find the sum given below.

Accepted Answer

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

Question 6

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Accepted Answer

A) 9,176 
B) 10,471 
C) 18,907 
D) 9,139 
E) 98,346 
A) 9,176 
B) 10,471 
C) 18,907 
D) 9,139 
E) 98,346

Question 7

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Accepted Answer

A) 2,156 
B) 64,262 
C) 68,057 
D) 258,060 
E) 66,033 
A) 2,156 
B) 64,262 
C) 68,057 
D) 258,060 
E) 66,033

Question 8

The rate of growth   of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days   initial size of the population is   After one day the population has grown to   Estimate the
Population after   ays.Round your answer to the nearest integer.

Accepted Answer

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

Question 9

Find the indefinite integral

Accepted Answer

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

Question 10

Use the summation formulas to rewrite the expression   without the summation notation.

Accepted Answer

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

Question 11

The maker of an automobile advertises that it takes   seconds to accelerate from   kilometers per hour to   kilometers per hour.Assuming constant acceleration, compute the acceleration in meters per second per second.Round your answer to three decimal places.

Accepted Answer

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

Question 12

Find the general solution of the differential equation below and check the result by differentiation.

Accepted Answer

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

Question 13

Find the general solution of the differential equation below and check the result by differentiation.

Accepted Answer

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

Question 14

Find the sum given below.

Accepted Answer

A) 42 
B) 44 
C) 38 
D) 50 
E) 40 
A) 42 
B) 44 
C) 38 
D) 50 
E) 40

Question 15

Find the indefinite integral

Accepted Answer

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

Question 16

Use left endpoints and 10 rectangles to find the approximation of the area of the region between the graph of the function   and the x-axis over the interval   Round
Your answer to the nearest integer.

Accepted Answer

A) 2925 
B) 3325 
C) 3000 
D) 3250 
E) 3125 
A) 2925 
B) 3325 
C) 3000 
D) 3250 
E) 3125

Question 17

Find the indefinite integral and check the result by differentiation.

Accepted Answer

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

Question 18

A ball is thrown vertically upwards from a height of   ft with an initial velocity of   ft per second.How high will the ball go? Note that the acceleration of the ball is given by   feet per second per second.

Accepted Answer

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

Question 19

The maker of an automobile advertises that it takes   seconds to accelerate from   kilometers per hour to   kilometers per hour.Assuming constant acceleration, compute the distance, in meters, the car travels during the   seconds.Round your answer to two decimal places.

Accepted Answer

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

Question 20

Use the summation formulas to rewrite the expression   without the summation notation.

Accepted Answer

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

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Find the indefinite integral

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Find the indefinite integral

Find the sum given below.

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Use the properties of summation and Theorem 4.2 to evaluate the sum.

The rate of growth of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days initial size of the population is After one day the population has grown to Estimate the Population after ays.Round your answer to the nearest integer.

Find the indefinite integral

Use the summation formulas to rewrite the expression without the summation notation.

The maker of an automobile advertises that it takes seconds to accelerate from kilometers per hour to kilometers per hour.Assuming constant acceleration, compute the acceleration in meters per second per second.Round your answer to three decimal places.

Find the general solution of the differential equation below and check the result by differentiation.

Find the general solution of the differential equation below and check the result by differentiation.

Find the sum given below.

Find the indefinite integral

Use left endpoints and 10 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval Round Your answer to the nearest integer.

Find the indefinite integral and check the result by differentiation.

A ball is thrown vertically upwards from a height of ft with an initial velocity of ft per second.How high will the ball go? Note that the acceleration of the ball is given by feet per second per second.

The maker of an automobile advertises that it takes seconds to accelerate from kilometers per hour to kilometers per hour.Assuming constant acceleration, compute the distance, in meters, the car travels during the seconds.Round your answer to two decimal places.

Use the summation formulas to rewrite the expression without the summation notation.

Limits and Their Properties

Differentiation

Applications of Differentiation

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters

Exam 4: Integration

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Find the indefinite integral

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Find the indefinite integral

Find the sum given below.

Use the properties of summation and Theorem 4.2 to evaluate the sum.

Use the properties of summation and Theorem 4.2 to evaluate the sum.

The rate of growth of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days initial size of the population is After one day the population has grown to Estimate the Population after ays.Round your answer to the nearest integer.

Find the indefinite integral

Use the summation formulas to rewrite the expression without the summation notation.

The maker of an automobile advertises that it takes seconds to accelerate from kilometers per hour to kilometers per hour.Assuming constant acceleration, compute the acceleration in meters per second per second.Round your answer to three decimal places.

Find the general solution of the differential equation below and check the result by differentiation.

Find the general solution of the differential equation below and check the result by differentiation.

Find the sum given below.

Find the indefinite integral

Use left endpoints and 10 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval Round Your answer to the nearest integer.

Find the indefinite integral and check the result by differentiation.

A ball is thrown vertically upwards from a height of ft with an initial velocity of ft per second.How high will the ball go? Note that the acceleration of the ball is given by feet per second per second.

The maker of an automobile advertises that it takes seconds to accelerate from kilometers per hour to kilometers per hour.Assuming constant acceleration, compute the distance, in meters, the car travels during the seconds.Round your answer to two decimal places.

Use the summation formulas to rewrite the expression without the summation notation.

Limits and Their Properties

Differentiation

Applications of Differentiation

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters