(b)
(c)
(a)
(b)
(c)
(a)
(b)
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.