Expression 3: "g" left parenthesis, "x" , right parenthesis equals StartFraction, sin left parenthesis, 10 times "x" , right parenthesis Over 2 , EndFraction Has graph. To audio trace, press ALT+T.gx=sin10·x2
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Expression 4: "r" Subscript, "o" "t" "a" "t" "e" , Baseline left parenthesis, "P" , "t" , right parenthesis equals left parenthesis, "P" . "x" cos "t" minus "P" . "y" sin "t" , "P" . "x" sin "t" plus "P" . "y" cos "t" , right parenthesisrotateP,t=P.xcost−P.ysint,P.xsint+P.ycost
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Expression 5: "a" Subscript, "r" "c" , Baseline left parenthesis, "f" , "x" , right parenthesis equals Start integral from 0 to "x" , end integral, StartRoot, left parenthesis, StartFraction, "d" Over "d" "a" , EndFraction "f" , right parenthesis squared plus 1 , EndRoot "d" "a"arcf,x=∫x0ddaf2+1da
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Expression 6: "r" Subscript, "o" "t" "a" "t" "e" , Baseline left parenthesis, left parenthesis, 0 , "g" left parenthesis, "a" Subscript, "r" "c" , Baseline left parenthesis, "f" left parenthesis, "a" , right parenthesis , "t" , right parenthesis , right parenthesis , right parenthesis , arctan left parenthesis, "f" prime left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis plus left parenthesis, "t" , "f" left parenthesis, "t" , right parenthesis , right parenthesis Has graph.rotate0,garcfa,t,arctanf′t+t,ft
domain t Minimum: negative 50−50
less than or equal to "t" less than or equal to≤t≤