The Maclaurin expansion for
y=e^(x)
is given below:
e^(x)=1+x+(1)/(2)x^(2)+(1)/(6)x^(3)+dots
(a) Use the first three terms of the appropriate Maclaurin series expansion above to find the following:
e^(0.5)=
Express answer to 3 significant digits. (b) Write the first three terms of the Maclaurin expansion for the expression below:
xe^(-4x^(2))=
(c) Use the first three terms of the appropriate Maclaurin series expansion above to evaluate the following definite integral.
\int_(0.5)^(1.1) xe^(-4x^(2))dx=
Express answer to 3 significant digits.