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#1 2006-04-16 08:21:56

dadon
Member
Registered: 2006-04-12
Posts: 14

equ. of line and gradient qus.

1) Find the equation of the line through the origin which is parallel to the line 4x - 27 - 5 = 0

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2) The equation of a curve is y = (x-3)(x+4). Find the gradient of the curve:
a) at the point the curve crosses the y-axis
b) at each of the points where the curve crosses the x-axis

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3) Find the coordinates of the point(s) on the curve y=3x^3 - x + 8 at which the gradient is
a) 8
b) 0

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4) The equation of a curve s=4t^2 +5t. Find the gradient of the normal at each of the points where the curve crosses the t-axis.

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5) If the gradient of a curve is y=2x^2 -3x -2. Find
a) the gradient at the point where x=0
b) the co-ordinates of the point where y=0
c) the gradient at each of the points found in b)

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#2 2006-04-16 08:27:13

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: equ. of line and gradient qus.

As far as I know, this forum isn't meant to be used for free homework-solutions.. Write what you've come up with so far, and we'll try to help you


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#3 2006-04-16 08:46:19

yonski
Member
Registered: 2005-12-14
Posts: 67

Re: equ. of line and gradient qus.

Patrick's right dude. There's not even like a please or thank you there.


Student: "What's a corollary?"
Lecturer: "What's a corollary? It's like when a theorem has a child. And names it corollary."

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#4 2006-04-16 22:52:11

dadon
Member
Registered: 2006-04-12
Posts: 14

Re: equ. of line and gradient qus.

shame lol sorry for about this! i just wanted some1 to attempt one of the question so I can have some idea what you do. I know it just seem rude for me to post a whole bunch of qus. So im sorry about that.

and btw this is not home-work just going through past papers and picking the questions I cannot do. As you can see there all about gradients and finding the co-ordinates.

regards,

dadon

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#5 2006-04-16 22:59:18

dadon
Member
Registered: 2006-04-12
Posts: 14

Re: equ. of line and gradient qus.

Looking back I made some typing mistakes! in 1) and 5)

1) equation should be 4x - 2y - 5 = 0


5) If the 'equation' of a curve is y=2x^2 -3x -2. Find

a) the gradient at the point where x=0
b) the co-ordinates of the point where y=0
c) the gradient at each of the points found in b)


I mainly need help on question 5)

As I went over this topic last night and can do most of them now.

Regards,

dadon

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