; TeX output 1996.02.23:0911덍䍍W"V cmbx1018.01GPR9OBLEMSET2 4yHandTintoRoQom2-108b9y1:00pmF riday,TFebruary23.!9I9Zffƶ ffD Ǎ!p0J cmsl10The3duedateandtimeareabsolute.i`Latehomeworksareaccepted untilUUthesolutionsarepGosted,butthescorewillbemultipliedbyK`y cmr101 b> cmmi10=2.EverythingMincludedheremaybGeusedlater.Y*oudonotneedtomemorizeUUtheproGofs,butyouneedtoknowthefacts.ffDD9ZffM􍍑 11.984/3,UU19,23,33,35,37,41,42.q217/25.X.8/3. Fd(10UUpGoints) 12.9GraphUUthefunction|<$<(x8 !", cmsy101)^ٓRcmr72ٟwfeFg (֍(x82)r2|s(xr2S1)=$: 9Findthedomain,asymptotes,limitatin nity(andnegativein nity),disconti-9nuities,UUandzeroGesofthefunction.Kd(5UUpGoints) 13.9TheUUhypGerbolicfunctionsarede nedbythefollowingformulas:l^sinh%^x=<$Ke^ 0ercmmi7xAķ8e^O!cmsy7xKwfe%ک (֍mT2@coshUOBx=<$Ke^xAī+8e^xKwfe%ک (֍mT2+':]9Provec2sinh*xcoshGx ԫ=sinhG2xOcoshy23x8+sinh825Sx ԫ=coshc2xOcoshy23x8sinh825Sx ԫ=1ƍ<$űdC7wfe 뎟 (֍dx sinhʌx ԫ=coshcxύ<$Td&Ɵwfe 뎟 (֍dx/coshʌx ԫ=sinhGx:!9SketchUUthegraphsofsinhUx,coshƱx,andsinh*1!ɱx.qCompute<$ddwfe 뎟 (֍dxQsinh$'I10ex:\ Fd(10UUpGoints)#N|{Ycmr8TÎyp cmmi10ٓRcmr7|{Ycmr8K`y cmr10