Barrons AP Calculus

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The region  S   in  the figure  above   is  bounded by  y   =   sec x   and y   =   4.  What

is  the volume  of  the solid   formed  when    S   is  rotated about   the x-axis?

11.385

23.781

53.126

108.177

Values  of  f   ′(x)    are given   in  the table   above.  Using   Euler’s method  with    a

step    size    of  0.5,    approximate f(3),   if  f(2)    =   6.

7.90

7.45

4.55

4.10

If  x   =   2t  −   1   and y   =   3   −   4t^2 ,  then        is

4 t

−4t

−8t

For the substitution    x   =   sin θ,  which   integral    is  equivalent  to