[14] Find the area enclosed by the cardioid r=1-cos (see figure). [15] Find a power series...

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[14] Find the area enclosed by the cardioid r=1-cos (see figure). [15] Find a power series representation for f(x)=sin2x using the MacLaurin series for sinx. [16] Find a power series representation for f(x) = x arctan(2x) using the Maclaurin series for arctanx. [14] Find the area enclosed by the cardioid r=1-cos (see figure). [15] Find a power series representation for f(x)=sin2x using the MacLaurin series for sinx. [16] Find a power series representation for f(x) = x arctan(2x) using the Maclaurin series for arctanx.