Barrons AP Calculus

(Marvins-Underground-K-12) #1
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Use Euler’s method  with    a   step    size    of  0.5 to  estimate    f   (1).
Solve the differential equation, expressing f as a function of x.

The graph   above   represents  the curve   C,  given   by      for −2  ≤   x
≤ 11.
Let R represent the region between C and the x-axis. Find the area of
R.
Set up, but do not solve, an equation to find the value of k such that
the line x = k divides R into two regions of equal area.
Set up, but do not solve, an integral for the volume of the solid
generated when R is rotated around the x-axis.
The function p is given by the series

Find    the interval    of  convergence for p.  Justify your    answer.
The series that defines p is the Taylor series about x = 2 . Find the
sum of the series for p.
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