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(Solved): The Maclaurin expansion for y=e^(x) is given below: e^(x)=1+x+(1)/(2)x^(2)+(1)/(6)x^(3)+dots (a) Us ...



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.



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