BC CALCULUS – QUIZ REVIEW 6.1-6.2 MS. BATTAGLIA. TOPICS ON QUIZ Sketching Slope Fields Sketching...

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BC CALCULUS – QUIZ REVIEW 6.1-6.2 MS. BAT TAGLIA

Transcript of BC CALCULUS – QUIZ REVIEW 6.1-6.2 MS. BATTAGLIA. TOPICS ON QUIZ Sketching Slope Fields Sketching...

Page 1: 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.

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Page 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.

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

Page 3: 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.

a) Sketch a slope field for y ’ = - x+1

b) Sketch the solution that passes through (2, 4)

Page 4: 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.

Use Euler’s Method to approximate the solution of the differential equation.

y’ = x + y y(0)=2 n = 5h = 0.1

Page 5: 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.

Solve the differential equation.

xy + y’ = 100x

Page 6: 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.

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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