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BC Calculus – Quiz Review 6.1-6.2

BC Calculus – Quiz Review 6.1-6.2. Ms. Battaglia. Topics on Quiz. Sketching Slope Fields Sketching Solution Curves Euler’s Method Solving Differential Equations (Separating Variables) d y /dx= ky y= Ce kt Exponential Growth and Decay. Sketch a slope field for y ’ = - x+1

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BC Calculus – Quiz Review 6.1-6.2

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  1. BC Calculus – Quiz Review6.1-6.2 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. When x = 0, y = 4 and when x = 3, y = 10. What is the value of y when x = 6?

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