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Numerical Method - Positive Root

LifeIsGood

I have no idea how to actually do the question, can anyone outline the methods for these please:

Reply 1

NancyR

x = 0 gives -1 <0
x = 5 gives 14 >0

This means that there are an odd number of roots between

To go from -1 to 14 you have to cross the x-axis once (or 3 times etc)

Reply 2

im hard

i would go for (e), you clearly have no idea.

Reply 3

LifeIsGood

Original post by im hard

i would go for (e), you clearly have no idea.

Thanks

Reply 4

im hard

Original post by LifeIsGood

Thanks

theres no point kidding urself.

Reply 5

LifeIsGood

Original post by im hard

theres no point kidding urself.

That's why I asked the questions genius :rolleyes:

Reply 6

im hard

Original post by LifeIsGood

That's why I asked the questions genius :rolleyes:

well you got something right, i am a genius.

Reply 7

ghostwalker

For the first one you want to check where the turning points are.
NancyR's given you the end points.

Plot them all, roughly, and see what you've got.

(edited 12 years ago)

Reply 8

Andythepiano

You know in q1 that "the number of roots" means the number of times the line crosses the x-axis. Differentiate the expression to see where the maximum and minimum points are. Differentiate once again to find out which they are - finally work out the values at x=0 and x=5. This gives you enough information to do a quick sketch. Then, count how many times the line crosses the x-axis

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Numerical Method - Positive Root

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