Question 1

Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point

Accepted Answer

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

Question 2

The half life of the radium isotope Ra-226 is approximately 1,599 years.If the amount left after 1,000 years is 1.8 g, what is the amount after 2000 years? Round your answer to
Three decimal places.

Accepted Answer

A) 1.167 g 
B) 0.939 g 
C) 1.800 g 
D) 0.490 g 
E) 2.334 g 
A) 1.167 g 
B) 0.939 g 
C) 1.800 g 
D) 0.490 g 
E) 2.334 g

Question 3

The number of bacteria in a culture is increasing according to the law of exponential growth.After 5 hours there are 175 bacteria in the culture and after 10 hours there are 425 bacteria in
The culture.Answer the following questions, rounding numerical answers to four decimal places.
(i) Find the initial population.
(ii) Write an exponential growth model for the bacteria population.Let t represent time in hours.
(iii) Use the model to determine the number of bacteria after 20 hours.
(iv) After how many hours will the bacteria count be 15,000?

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

At time   minutes, the temperature of an object is   The temperature of the object is changing at the rate given by the differential equation   Use Euler's
Method to approximate the particular solutions of this differential equation at   Use a step size of   Round your answer to one decimal place.

Accepted Answer

A) 96.6 
B) 99.9 
C) 102.9 
D) 98.1 
E) 97.4 
A) 96.6 
B) 99.9 
C) 102.9 
D) 98.1 
E) 97.4

Question 6

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

Sketch the slope field for the differential equation and use the slope field to sketch the solution that passes through the point

The half life of the radium isotope Ra-226 is approximately 1,599 years.If the amount left after 1,000 years is 1.8 g, what is the amount after 2000 years? Round your answer to Three decimal places.

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

At time minutes, the temperature of an object is The temperature of the object is changing at the rate given by the differential equation Use Euler's Method to approximate the particular solutions of this differential equation at Use a step size of Round your answer to one decimal place.

Select from the choices below the slope field for 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

Sketch the slope field for the differential equation and use the slope field to sketch the solution that passes through the point

The half life of the radium isotope Ra-226 is approximately 1,599 years.If the amount left after 1,000 years is 1.8 g, what is the amount after 2000 years? Round your answer to Three decimal places.

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

At time minutes, the temperature of an object is The temperature of the object is changing at the rate given by the differential equation Use Euler's Method to approximate the particular solutions of this differential equation at Use a step size of Round your answer to one decimal place.

Select from the choices below the slope field for 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