Expression 8: "y" equals negative "a" "x" plus "a" squared plus natural log left parenthesis, "a" , right parenthesis Has graph. To audio trace, press ALT+T.y=−ax+a2+lna
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Expression 9: "y" equals negative "b" "x" plus "b" squared plus natural log left parenthesis, "b" , right parenthesis Has graph. To audio trace, press ALT+T.y=−bx+b2+lnb
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P: left parenthesis, "b" plus "a" plus StartFraction, left parenthesis, ln left parenthesis, "b" , right parenthesis minus ln left parenthesis, "a" , right parenthesis , right parenthesis Over "b" minus "a" , EndFraction , negative "a" "b" plus StartFraction, "b" Over "b" minus "a" , EndFraction ln left parenthesis, "a" , right parenthesis minus StartFraction, "a" Over "b" minus "a" , EndFraction ln left parenthesis, "b" , right parenthesis , right parenthesisb+a+lnb−lnab−a,−ab+bb−alna−ab−alnb
Expression 11: left parenthesis, "x" minus left parenthesis, 2 "a" plus StartFraction, 1 Over "a" , EndFraction , right parenthesis , right parenthesis squared plus left parenthesis, "y" plus "a" squared plus 1 minus ln left parenthesis, "a" , right parenthesis , right parenthesis squared equals StartFraction, left parenthesis, "a" squared plus 1 , right parenthesis cubed Over "a" squared , EndFraction Has graph. To audio trace, press ALT+T.x−2a+1a2+y+a2+1−lna2=a2+13a2