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Mathematics 16 Online
OpenStudy (anonymous):

where have i gone wrong??

OpenStudy (anonymous):

you could cheat and find the area using the area of a triangle formula

OpenStudy (anonymous):

i need to find the volume...id rather do it the proper way=)

OpenStudy (anonymous):

i didnt even read the entire question..my bad

OpenStudy (anonymous):

all good=)

OpenStudy (anonymous):

maybe @satellite73 knows this, because i don't even know where to start (except that its an integral)...sorry

OpenStudy (anonymous):

aww no biggie...thanks anyways=)

zepdrix (zepdrix):

Hmm so they've drawn the region of integration and we have to figure out the limits for x and y. They've also provided the function, so we'll be able to set everything up nice and pretty in a second :O

OpenStudy (anonymous):

i set 4<y<4x+1 and 1<x<5 and set the function in the dy dx order

zepdrix (zepdrix):

Hmm I think the upper bound for y is y=4x, I'll check again to make sure I didn't mess up though.

zepdrix (zepdrix):

\[(x_1,y_1)=(1,4)\]\[(x_2,y_2)=(5,20)\]\[m=\frac{ y_2-y_1 }{ x_2-x_1 }=\frac{ 20-4 }{ 5-1 }=\frac{ 16 }{ 4 }=4\] \[y=4x+b\]Plugging in one of our points: \[4=4(1)+b\]\[b=0\]

OpenStudy (anonymous):

hey i solved the and

OpenStudy (anonymous):

answer*

OpenStudy (anonymous):

your right y=4x ...my bad..thankx a ton!

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