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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.