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This is the final lesson in an eight-lesson unit on Advanced Techniques of Integration for students enrolled in AP Calculus BC or Calculus 2. Every lesson includes
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Two forms of a daily homework quiz or exit ticket
✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.
★ Solve and analyze logistic differential equations
★ Use logistic differential equations to model and solve applied problems.
★ Use Newton’s Cooling Law to solve applied problems.
College Board® Learning Objectives:
★ LO3.5A (BC) Analyze differential equations to obtain general and specific solutions.
★ EK 3.5A1 Antidifferentiation can be used to find specific solutions to differential equations with given initial conditions, including applications to motion along a line, exponential growth and decay, and logistic growth.
★ LO3.5B Interpret, create, and solve differential equations from problems in context.
★ EK 3.5B2 (BC) The model for logistic growth that arises from the statement "The rate of change of a quantity is jointly proportional to the size of the quantity and the difference between the quantity and the carrying capacity" is dy/dt = ky(a-y)
The unit includes the following topics:
6. Arc Length
8. Logistic Growth Problems
The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* Through the SMART Notebook Express ®
* Promethean Boards©
* Other APPS available for Tablets
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