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Mathematics 21 Online
OpenStudy (anonymous):

Find the area of the regions enclosed by the lines and curves. y = 9x - x^2 and y = 20

OpenStudy (amistre64):

integrate maybe?

OpenStudy (amistre64):

integrate 9x - x^2 - 20 between its x intercepts

OpenStudy (anonymous):

integrate them between 9 & 0 and 20 & 0 respectively

OpenStudy (amistre64):

i was thiniking 5 and 4 but ....

OpenStudy (anonymous):

ok ill try it

OpenStudy (anonymous):

i'm not sure about it....sorry...

OpenStudy (amistre64):

- x^2 +9x - 20 - (x^2 -9x +20) -5,-4 = 20, and -9

OpenStudy (anonymous):

i got -121/6 but thats not an answer choice

OpenStudy (amistre64):

check your algebra ... ill dbl chk as well

OpenStudy (anonymous):

ok

OpenStudy (amistre64):

yeah, im not getting -121/6 seems about -12 off

OpenStudy (anonymous):

ok 1/6?

OpenStudy (amistre64):

\[-\int_{4}^{5}(x^2-9x+20)~dx\]

OpenStudy (amistre64):

yep .. -121/6, if you remove the -12 is just 1/6 :)

OpenStudy (anonymous):

ok thank you so much!

OpenStudy (amistre64):

youre welcome

OpenStudy (anonymous):

@amistre64 i have a few more problems like this one but just have one question. how do you find the upper and lower limits?

OpenStudy (amistre64):

given to function, f and g, the points of intersection are every point they have in common: f=g, as such we can determine the values of f-g=0 to be points of interest.

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