Barrons AP Calculus

(Marvins-Underground-K-12) #1
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ln  
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If      for all real    x   and g(0)    =   0,  g(4)    =   4,  then    g(1)    equals

1
2
4
The solution curve of y′ = y that passes through point (2, 3) is
y = ex + 3

y   =   0.406ex
y = ex − (e^2 + 3)
y = ex/(0.406)
At any point of intersection of a solution curve of the d.e. y′ = x + y and
the line x + y = 0, the function y at that point
is equal to 0
is a local maximum
is a local minimum
has a point of inflection
has a discontinuity

The slope   field   for F   ′(x)    =   e−x

2
is shown with the particular solution F(0)
= 0 superimposed. With a graphing calculator, to three decimal
places is
0.886
0.987
1.000
1.414
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