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BC Calculus – Quiz Review

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1 BC Calculus – Quiz Review 6.1-6.2
Ms. Battaglia

2 Topics on Quiz Sketching Slope Fields Sketching Solution Curves Euler’s Method Solving Differential Equations (Separating Variables) dy/dx=ky y=Cekt Exponential Growth and Decay

3 Sketch a slope field for y ’ = - x+1
Sketch the solution that passes through (2, 4)

4 Use Euler’s Method to approximate the solution of the differential equation. y’ = x + y y(0)=2 n = 5 h = 0.1

5 Solve the differential equation.
xy + y’ = 100x

6 The rate of change of y is proportional to y
The rate of change of y is proportional to y. When x = 0, y = 4 and when x = 3, y = 10. What is the value of y when x = 6?

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