Solutions Euler’s Method and Logistic Growth Solutions (BC Only) We have intentionally included more material than can be covered in most Student Study Sessions to account for groups that are able to answer the questions at a faster rate. Use your own judgment, based on the group of students, to determine the order and selection of questions to work in the session. Be sure to include a variety of types of questions (multiple choice, free response, calculator, and non-calculator) in the time allotted. Multiple Choice Solutions- Euler’s Method 1. C (2003 BC5) Original Original New = New = x y x y Original + Original + x y dy dx 1 2 0.5 (1+2)*(0.5)=1.5 1.5 3.5 1.5 3.5 0.5 (1.5+3.5)*(0.5)=2.5 2.0 6.0 2. D (2008 BC7) Original Original New = New = x y x y Original + Original + x y dy dx 1 -3 0.5 (2*1+(-3))*(0.5)=-0.5 1.5 -3.5 1.5 -3.5 0.5 2.0 -3.75 3. D (AP-like) 4. C (AP-like)
Euler’s Method and Logistic Growth Solutions (BC Only) Solutions We have intentionally included more material than can be covered in most Student Study Sessions to account for groups that are able to answer the questions at a faster rate. Use your own judgment, based on the group of students, to determine the order and selection of questions to work in the session. Be sure to include a variety of types of questions (multiple choice, free response, calculator, and non-calculator) in the time allotted. Multiple Choice Solutions- Euler’s Method 1. C (2003 BC5) Original x Original y New x = Original x + dx New y = Original y + dy 1 2 0.5 (1+2)*(0.5)=1.5 1.5 3.5 1.5 3.5 0.5 (1.5+3.5)*(0.5)=2.5 2.0 6.0 2. D (2008 BC7) Original x Original y New x = Original x + dx New y = Original y + dy 1 -3 0.5 (2*1+(-3))*(0.5)=-0.5 1.5 -3.5 1.5 -3.5 0.5 2.0 -3.75 3. D (AP-like) 4. C (AP-like)
Eulers%20Method%20and%20Logisitic%20Growth%20-%20SOLUTIONS.docx