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Mathematics: Post your doubts here!

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wen we square a line and integrate fr given limits it gives us the volume under that p[articular line or curve
wen there is no line given and its a straight line parralel to x axis the eq of line wud be y=2

now see volume under y=2 gives us the complete vol under line ie the whole rectangle
no we dun need the non shaded region of the rectangle
non shaded region of rectangle = vol under the curve

now u kno
vol of shaded + vol of non shaded = vol of total rectangle
so vol of shaded = total (under y=2) - non shaded (under curve)
ask again if u dun get it
Hey... THANKS ALOTT.. :D
I was stuck at this stupid question for over an hour and turns out it was the simplest thing. :D
Thanks alot again :)
 
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Yeah.. but how do I get the y-intercept and x-intercept??
you dont have any intercept in this graph,look carefully the range is given from k<x<4 and where you found k=2
so,when x is 2,y is 8
when x is 3,y is 7 and when x is 4,y is 4.
plot them and join the curve
 
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hey :)
I am solving ur question but hree's the deal. u need to have that paper and a page and pencil with u and u need to do it as I walk u through it otherwise u won't get it bcz making a diagram here won't be possible for mme and u hav to bear with the descriptions of the diagram nad make one for urself side by side.


see wat u need to do here is make a right angled triangle. consider OR to be the tangent and make a radius line from C to R. connect C to O also..... there u have ur right angle.

in part i) Sin(thita) = x/20
thita = 1.2/2 = 0.6 radians

solve it and u will get 7.218cm

in part ii) Area = (Area of sector) - (Area of circle)
= [(1/2)(1.2)(20)^2] - [(pie)(7.218)^2]
= 240 - 163.68
= 76.32 cm^2

got it?? :)
 
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adding to what Mustafa said.... actually just emphasising a point he already made.... use the expanded form instead of the secnd bracket.... meaning the answer of ur 1st part it makes the questions a lot less confusing :) and it becomes vivid as to wat u need to do there
she doesnt need to expand in first part.. -.- :p
 
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