AP Calculus Ab Project
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Transcript of AP Calculus Ab Project
AP Calculus Ab Project
By: Malcolm Brissett
Plz no sleeping
while presentation
is playing
Get Readyshhh Slope field
Consider the differential equation dy/dx = x^4 (y-2)
(a) 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.
2004 AP Calculus AB Exam (Form B)
Problem 5
On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated.(Note: use the axes provided)
A.
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
Calculator Part A.1 2
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Turn on yourcalculators
Then Go to PRGm
Plug in the equation
Then go down to slopefld
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Then Go to window set to set it for the points you need
PRESS ENTER
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LAST.. Go to graph =) and yay your done.
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.
B.
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
find the particular solution Y= f(x)to the given differential equation with the initial condition F(0)=O.
C.
Citations
http://rowdy.mscd.edu/~talmanl/APCalculus/AB2004B/
http://apcentral.collegeboard.com/apc/public/repository/ap04_frq_calculus_ab__36107.pdf
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