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Mathematics: Post your doubts here!

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What part of it do you not understand? Its simple
Get an admath book, it covers this chapter in detail
It would be easier if you could solve this on a copy and write the explanation on the side,would help me understand it.
Sorry dude I haven't covered graphs yet in school. However, do mention anything regarding the 'Binomial Theorem' and the beginning of 'Logs'
I dont know anything about that,havent studied it yet.
 
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It would be easier if you could solve this on a copy and write the explanation on the side,would help me understand it.

I dont know anything about that,havent studied it yet.
:cry: it will bee to time consuming, tell me the concept you dont understand and I will explain
or type out your working and I will correct the mistake if there is any
 
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Can someone help with complete Q11,and the 2 circled parts on the other page?
F.Z.M. 7
Awesome12
MarcoReus
M.Omar
q11(i)
for a quadratic graph of function ..we know tht is either in the shape of U of inverse U depending on the coefficient of x^2
the form of the question is :a(x-h)^2 +c ...c=8 a=-1 and h=2
a<0 so the curve will be of shape inverse U thus it will have a maximum value at the stationary point
we know tht since (x-h)^2 is always positive regardless of any value of x and with a negative coefficient(i.e -1) it will thus always be negative..so for the maximum value we need to make the expression a(x-h)^2 =0 so tht it will not decrease the value of y=8-(x-2)^2 and thus give us the maximum ..comparing with the values given in the question... x shud be 2 to givea -(x-2)^2 =0 and thus give a max value...for this value of x ...find the value of y coordinate which is quite evidently 8
the nature is tht this stationary point is a maximum turning effect
 
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q11(i)
for a quadratic graph of function ..we know tht is either in the shape of U of inverse U depending on the coefficient of x^2
the form of the question is :a(x-h)^2 +c ...c=8 a=-1 and h=2
a<0 so the curve will be of shape inverse U thus it will have a maximum value at the stationary point
we know tht since (x-h)^2 is always positive regardless of any value of x and with a negative coefficient(i.e -1) it will thus always be negative..so for the maximum value we need to make the expression a(x-h)^2 =0 so tht it will not decrease the value of y=8-(x-2)^2 and thus give us the maximum ..comparing with the values given in the question... x shud be 2 to givea -(x-2)^2 =0 and thus give a max value...for this value of x ...find the value of y coordinate which is quite evidently 8
the nature is tht this stationary point is a maximum turning effect
Now I was halfway through typing myself -______-
Pahlay kidhr tha ? :p
 
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Can someone help with complete Q11,and the 2 circled parts on the other page?
F.Z.M. 7
Awesome12
MarcoReus
M.Omar
now for the other pg..since we,re asked to find the value of k for which the curve and line r tangent to each other
we first equate them y=6x+k and y=7x^1/2
this becomes 6x+k=7x^1/2
now this gets a bit trickier and u shd take the under root x as only one unit on either sides of equation(i.e alone) and now square the expression i.e (6x+k)^2=(7sqtrtx)^2...this gives
36x^2 +12kx +k^2=49x
u,ll end up with a quadratic equation... and now simply for tangent b^2-4ac=0
and u wil find probably two values of k or if the k^2 terms cancel each other u,ll find a single value
for the other part f(x)= (x-2)^2 -4+k .to find the inverse
let f(x)inverse=y
such tht fy)=x
(y-2)^2-4+k=x
(y-2)^2=x+4-k
y-2=+-(under root(x+4-k))
y=2+-(under root(x+4-k))
 
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Messages
2,515
Reaction score
4,065
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273
q11(i)
for a quadratic graph of function ..we know tht is either in the shape of U of inverse U depending on the coefficient of x^2
the form of the question is :a(x-h)^2 +c ...c=8 a=-1 and h=2
a<0 so the curve will be of shape inverse U thus it will have a maximum value at the stationary point
we know tht since (x-h)^2 is always positive regardless of any value of x and with a negative coefficient(i.e -1) it will thus always be negative..so for the maximum value we need to make the expression a(x-h)^2 =0 so tht it will not decrease the value of y=8-(x-2)^2 and thus give us the maximum ..comparing with the values given in the question... x shud be 2 to givea -(x-2)^2 =0 and thus give a max value...for this value of x ...find the value of y coordinate which is quite evidently 8
the nature is tht this stationary point is a maximum turning effect
Well bro, i got most of that figured out myself, h and k are turning points and they're 2,8 so i got that right.My main problem was in the g(x) functions.Could you solve that out on a page and post?
nikal bhee loon to I cant give the image, my mobile was stolen and now I have 2 megapixel one now
How can I show it to you ?

I can just give you explanation of concepts wo sun lo
Allah khair,tha konsa mobile :p
 
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now for the other pg..since we,re asked to find the value of k for which the curve and line r tangent to each other
we first equate them y=6x+k and y=7x^1/2
this becomes 6x+k=7x^1/2
now this gets a bit trickier and u shd take the under root x as only one unit on either sides of equation(i.e alone) and now square the expression
u,ll end up with a quadratic equation... and now simply for tangent b^2-4ac=0
and u wil find probably two values of k or if the k^2 terms cancel each other u,ll find a single value
for the other part f(x)= (x-2)^2 -4+k .to find the inverse
let f(x)inverse=y
such tht fy)=x
(y-2)^2-4+k=x
(y-2)^2=x+4-k
y-2=+-(under root(x+4-k))
y=2+-(under root(x+4-k))
Could you please please please solve it on a paper?My eyes bleed trying to read out this =P
Thanks for this explanation though.
 
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