Use power series operations to find the taylor series of cos2(x)cos2⁡(x) at the point a=0a=0. your answers should not include the variable xx. finally, determine the general term anan in cos2(x)=∑n=0[infinity]anx2ncos2⁡(x) =∑n=0[infinity]anx2n. hint: cos2(x)=(1+cos2x)/2.cos2⁡(x)=(1+cos ⁡2x)/2.

If g(x) is an odd function, which function must be an even function?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function.a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.