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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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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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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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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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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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