Question 1

Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value.Use 5 steps of size 0.15.

Accepted Answer

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

Question 2

Find the principal that must be invested at the rate 8%, compounded monthly, so that $1,000,000 will be available for retirement in 50 years.Round your answer to the nearest cent.

Accepted Answer

A) $250,000.00 
B) $18,560.39 
C) $717,324.37 
D) $333,333.33 
E) $21,321.23 
A) $250,000.00 
B) $18,560.39 
C) $717,324.37 
D) $333,333.33 
E) $21,321.23

Question 3

A container of hot liquid is placed in a freezer that is kept at a constant temperature of   .The initial temperature of the liquid is   After 3 minutes, the liquid's temperature is   How much longer will it take for its temperature to decrease to   Round your answer to
Two decimal places.

Accepted Answer

A) 1.89 minutes 
B) 2.84 minutes 
C) 3.16 minutes 
D) 1.26 minutes 
E) 3.47 minutes 
A) 1.89 minutes 
B) 2.84 minutes 
C) 3.16 minutes 
D) 1.26 minutes 
E) 3.47 minutes

Question 4

Select from the choices below the slope field for the differential equation.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of the above 
A)    
B)    
C)    
D)    
E) none of the above

Question 5

Which of the following is a solution of the differential equation

Accepted Answer

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

Question 6

Which of the following is a solution of the differential equation

Accepted Answer

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

Question 7

Use integration to find a general solution of the differential equation.

Accepted Answer

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

Question 8

Solve the differential equation.

Accepted Answer

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

Question 9

Use integration to find a general solution of the differential equation

Accepted Answer

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

Question 10

Use integration to find a general solution of the differential equation.

Accepted Answer

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

Question 11

The   has a half-life of 24,100 years.After 10,000 years, a sample of the isotope is reduced 1.6 grams.What was the initial size of the sample (in grams)? How large was the
Sample after the first 1,000 years? Round your answers to four decimal places.

Accepted Answer

A) 2.1332 , 2.0727 
B) 2.7731 , 2.6945 
C) 1.2799 , 1.2436 
D) 1.7065 , 1.6582 
E) 1.0666 , 1.0364 
A) 2.1332 , 2.0727 
B) 2.7731 , 2.6945 
C) 1.2799 , 1.2436 
D) 1.7065 , 1.6582 
E) 1.0666 , 1.0364

Question 12

Use integration to find a general solution of the differential equation.

Accepted Answer

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

Question 13

The half-life of the radium isotope Ra-226 is approximately 1,599 years.If the initial quantity of the isotope is 38 g, what is the amount left after 1,000 years? Round your answer to two
Decimal places.

Accepted Answer

A) 24.63 g 
B) 30.60 g 
C) 25.13 g 
D) 11.88 g 
E) 12.32 g 
A) 24.63 g 
B) 30.60 g 
C) 25.13 g 
D) 11.88 g 
E) 12.32 g

Question 14

The   a half-life of 5,715 years.Given an initial amount of 11 grams of the isotope, how many grams will remain after 500 years? After 5,000 years? Round your answers to
Four decimal places.

Accepted Answer

A) 7.2469 gm, 4.1988 gm 
B) 6.2117 gm, 3.5989 gm 
C) 10.3528 gm, 5.9982 gm 
D) 4.1411 gm, 2.3993 gm 
E) 12.4233 gm, 7.1979 gm 
A) 7.2469 gm, 4.1988 gm 
B) 6.2117 gm, 3.5989 gm 
C) 10.3528 gm, 5.9982 gm 
D) 4.1411 gm, 2.3993 gm 
E) 12.4233 gm, 7.1979 gm

Question 15

Find the exponential function   that passes through the two given points. Round your values of C and k to four decimal places.

Accepted Answer

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

Question 16

Solve the differential equation

Accepted Answer

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

Question 17

The half-life of the radium isotope Ra-226 is approximately 1,599 years.What percent of a given amount remains after 800 years? Round your answer to two decimal places.

Accepted Answer

A) 70.70 % 
B) 5.71 % 
C) 72.70 % 
D) 25.02 % 
E) 0.71 % 
A) 70.70 % 
B) 5.71 % 
C) 72.70 % 
D) 25.02 % 
E) 0.71 %

Question 18

Find the function   passing through the point   with the first derivative

Accepted Answer

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

Question 19

Use integration to find a general solution of the differential equation .

Accepted Answer

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

Question 20

Solve the differential equation.

Accepted Answer

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

Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value.Use 5 steps of size 0.15.

Find the principal that must be invested at the rate 8%, compounded monthly, so that $1,000,000 will be available for retirement in 50 years.Round your answer to the nearest cent.

A container of hot liquid is placed in a freezer that is kept at a constant temperature of .The initial temperature of the liquid is After 3 minutes, the liquid's temperature is How much longer will it take for its temperature to decrease to Round your answer to Two decimal places.

Select from the choices below the slope field for the differential equation.

Which of the following is a solution of the differential equation

Which of the following is a solution of the differential equation

Use integration to find a general solution of the differential equation.

Solve the differential equation.

Use integration to find a general solution of the differential equation

Use integration to find a general solution of the differential equation.

The has a half-life of 24,100 years.After 10,000 years, a sample of the isotope is reduced 1.6 grams.What was the initial size of the sample (in grams)? How large was the Sample after the first 1,000 years? Round your answers to four decimal places.

Use integration to find a general solution of the differential equation.

The half-life of the radium isotope Ra-226 is approximately 1,599 years.If the initial quantity of the isotope is 38 g, what is the amount left after 1,000 years? Round your answer to two Decimal places.

The a half-life of 5,715 years.Given an initial amount of 11 grams of the isotope, how many grams will remain after 500 years? After 5,000 years? Round your answers to Four decimal places.

Find the exponential function that passes through the two given points. Round your values of C and k to four decimal places.

Solve the differential equation

The half-life of the radium isotope Ra-226 is approximately 1,599 years.What percent of a given amount remains after 800 years? Round your answer to two decimal places.

Find the function passing through the point with the first derivative

Use integration to find a general solution of the differential equation .

Solve the differential equation.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

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 6: Differential Equations

Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value.Use 5 steps of size 0.15.

Find the principal that must be invested at the rate 8%, compounded monthly, so that $1,000,000 will be available for retirement in 50 years.Round your answer to the nearest cent.

A container of hot liquid is placed in a freezer that is kept at a constant temperature of .The initial temperature of the liquid is After 3 minutes, the liquid's temperature is How much longer will it take for its temperature to decrease to Round your answer to Two decimal places.

Select from the choices below the slope field for the differential equation.

Which of the following is a solution of the differential equation

Which of the following is a solution of the differential equation

Use integration to find a general solution of the differential equation.

Solve the differential equation.

Use integration to find a general solution of the differential equation

Use integration to find a general solution of the differential equation.

The has a half-life of 24,100 years.After 10,000 years, a sample of the isotope is reduced 1.6 grams.What was the initial size of the sample (in grams)? How large was the Sample after the first 1,000 years? Round your answers to four decimal places.

Use integration to find a general solution of the differential equation.

The half-life of the radium isotope Ra-226 is approximately 1,599 years.If the initial quantity of the isotope is 38 g, what is the amount left after 1,000 years? Round your answer to two Decimal places.

The a half-life of 5,715 years.Given an initial amount of 11 grams of the isotope, how many grams will remain after 500 years? After 5,000 years? Round your answers to Four decimal places.

Find the exponential function that passes through the two given points. Round your values of C and k to four decimal places.

Solve the differential equation

The half-life of the radium isotope Ra-226 is approximately 1,599 years.What percent of a given amount remains after 800 years? Round your answer to two decimal places.

Find the function passing through the point with the first derivative

Use integration to find a general solution of the differential equation .

Solve the differential equation.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

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