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Differentiation problem

PQRS is a rectangle with the base length 2p units and area A units^2.
The points P and Q lie on the x axis and the points R and S lie on the curve y=9-x^2. Express QR in terms of p.
Pls help

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Do you know the answer? As I got QR=7p-6.5p^3
which doesn’t look quite right.
(edited 4 years ago)
Reply 2
the answer is 9-p^2
Reply 3
image-947db5f2-6180-4834-9cd7-fd4b0e2c2e2b8703749857335544307-compressed.jpg.jpeg
Reply 4
I tried to differentiate and get the gradient of tangent.
I tried to integrate to get an area
Reply 6
QR is the vetrical height.
Q has zero y component.
The y coordinate of R is ...
(edited 4 years ago)
Reply 7
oh yeah it would be 9 so the coordinate will be (0,9) of R
Reply 8
sorry the x coordinate isnt 0
Reply 9
it will be x,9
The x coordinate is "p" so ....
Its hard not to give the answer.
Reply 11
so q coordinate will be p,0
Original post by Shas72
so q coordinate will be p,0

Yes, so what about R?
Reply 13
is it that I just substitute the x=p
Original post by Shas72
is it that I just substitute the x=p

Yes.
The first two question parts do not involve differentiation.
there is no differentiation needed at all in this question ?

:hmmmm2:

from the diagram you can see that the x coordinate of Q is p, so you can find the y coordinate.
Reply 16
I got it I just substitute and so the coordinates of R is (P, 9-P^2)
so when I do length QR I get the answer as 9-p^2
Original post by Shas72
I got it I just substitute and so the coordinates of R is (P, 9-P^2)
so when I do length QR I get the answer as 9-p^2

Yes, now part b) is just the area of a rectangle.
Reply 18
yeah the second third and fourth are easy. I wasn't understanding this one. than you so much for helping me
Just over complicating it, classic

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