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Mathematics: Post your doubts here!

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If you equate the equation of the curve to zero you get the solution of the curve
and if you equate the derivate of the equation to zero, you get the stationary point.
If you have a point on the curve, you can use the coordinates of that point and the gradient of the curve at that point to find the equation of the tangent to the curve at that point.
Yea I know.. But will the equation of the tangent also be equal to 0? I saw some qs in which they did that
 
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Here are some important questions from O/N 2013 p32 which I felt need to be posted here :)
Also, I have this doubt, Q8)b) how do we find the Least |z-w| for the loci? It carries two marks :/ , I tried to do it but it's not working :/
Help would be very appreciated for my doubt :)
 

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Continued..
 

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Can someone help in estimating the mean from cumulative frequencies and such?
in Winter 2013 v62 Q4, we took the classes as 100<x<150 and then 150<x<175 and therefore got midpoints of 125 and 162.5 while in Summer 2011 v63 we took the class as 0-9 and 10-19 and therefore got midpoints of 4.5 and 14.5
When do I do the first one and when do I do the second one? I keep getting confused.
 
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Here are some important questions from O/N 2013 p32 which I felt need to be posted here :)
Also, I have this doubt, Q8)b) how do we find the Least |z-w| for the loci? It carries two marks :/ , I tried to do it but it's not working :/
Help would be very appreciated for my doubt :)
could u please do 7(ii)
could be really helpfull
 
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