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AP Calculus Ab Project

AP Calculus Ab Project. Get Ready shhh. By: Malcolm Brissett. Slope field . Plz no sleeping while presentation is playing. 2004 AP Calculus AB Exam (Form B). Problem 5. Consider the differential equation dy / dx = x^4 (y-2)

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AP Calculus Ab Project

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  1. AP Calculus Ab Project Get Ready shhh By: Malcolm Brissett Slope field Plz no sleeping while presentation is playing

  2. 2004 AP Calculus AB Exam (Form B) Problem 5 Consider the differential equation dy/dx = x^4 (y-2) On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated.(Note: use the axes provided) (b) while the slope field in part (a) is drawn at only twelve points, it is defined at every point in the xy-plane. Describe all point in the xy-plane for which the slope are negative. (c) find the particular solution Y= f(x)to the given differential equation with the initial condition F(0)=O.

  3. A. On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated.(Note: use the axes provided) dy/dx = x^4 (y-2) (X,Y) dy/dx (0,0) 0 (0,1) 0 (0,2) 0 (0,3) 0 (1,0) -2 (1,1) -1 (1,2) 0 (1,3) 1 (-1,0) -2 (-1,1) -1 (-1,2) 0 (-1,3) 1

  4. Calculator Part A. 2 1 3 Plug in the equation Turn on your calculators Then Go to PRGm

  5. 4 5 Then go down to slopefld 6 PRESS ENTER Then Go to window set to set it for the points you need

  6. 7 LAST.. Go to graph =) and yay your done.

  7. B. while the slope field in part (a) is drawn at only twelve points, it is defined at every point in the xy-plane. Describe all point in the xy-plane for which the slope are negative. Because slope at  (x.y)is given by  , slope is negative only where X^4is positive And (y-2 ) is negative.  So slope is negative in 

  8. C. find the particular solution Y= f(x)to the given differential equation with the initial condition F(0)=O.

  9. Citations 1 http://apcentral.collegeboard.com/apc/public/repository/ap04_frq_calculus_ab__36107.pdf 2 http://rowdy.mscd.edu/~talmanl/APCalculus/AB2004B/

  10. The END

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