Question Solved1 Answer Question Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 9x + 20 and g(x) = { + į and the x-axis when integrating with respect to y. Enter an exact answer 7 3 2 TEX) 1 - 2

6QSX8M The Asker · Calculus



Transcribed Image Text: Question Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 9x + 20 and g(x) = { + į and the x-axis when integrating with respect to y. Enter an exact answer 7 3 2 TEX) 1 - 2
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Transcribed Image Text: Question Find the area of the region pictured below that is bounded by the functions f(x) = x2 - 9x + 20 and g(x) = { + į and the x-axis when integrating with respect to y. Enter an exact answer 7 3 2 TEX) 1 - 2
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Solution{:[f(x)=x^(2)-9x+20=x^(2)-9x+(81)/(4)-(81)/(4)+20],[g(x)=(x)/(2)+(1)/(2)quad=>y=(x)/(2)+(1)/(2)=>x=2y-1],[x"-axis "=>y=0]:}point of intersection{:[y=(2y-1)^(2)-9(2y-1)+20],[=4y^(2)+1-4y-18 y+9+20],[=>quad4y^(2)-23 y+30=0],[y=(23+-sqrt(23 xx23-4xx4xx30))/(2xx4)],[y=(23+-sqrt161)/(8)],[:'y=(x-(9)/(2))^(2)-(1)/(4)quad=>x=(9)/(2)+sqrt(y+(1)/(4))],[" Area of bounded reg ... See the full answer