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#103173 Integration

Posted by Lee1994 on 28 December 2010 - 12:42 PM in Problem Questions

So my homework on this topic is due after the holidays and i am really struggling! Can anyone help?

1. Find (x squared -2)(x squared +2)/ x squared dx


2. calculate the shaded area enclosed between the parabolas with equations y= 1+10x-2x squared ans y= 1+5x-x squared. I ended up with 20.8.


3. calculate the shaded area enclosed between the curve y= (x+1)(x-1)(x-3) and the line y= 5x-5.


Hope this is legible.
Lehanne.



#103113 Functions and recurrence relations homework

Posted by Lee1994 on 27 September 2010 - 11:37 AM in Problem Questions

View PostPhysics and Maths Tutor, on 24 September 2010 - 11:41 PM, said:

View PostLee1994, on 21 September 2010 - 07:45 PM, said:

So... im really stuck and my teacher says she is too busy to help me! :(
Here goes... functions.
f(x)= 3-x and G(x)= 3/x, X does not equal 0
a Find p(x) where p(x)= f(g(x))
b If q(x)= 3/3-x, x does not equal 3, find p(q(x)) in it's simplest form

Also... recurrence relations.
Two sequences are generated by the recurrence realations un+1= aun + 10 and vn+1= a^2vn + 16
The two sequences approach the same limit as n tends to infinity.
Determine the value of a and evaluate the limit.

Hope someone can understand this. Good luck x

a)
p(x) = f(g(x)) = f(3/x)
and f(x) = 3-x
so, f(3/x) = 3-3/x
i.e, p(x) = 3-3/x

b)
p(x) = 3-3/x and q(x) = 3/(3-x)
so, p(q(x)) = p(3/(3-x)) = 3-3/(3/(3-x)) = 3-(3-x) = x

Maths & Physics Tutor Edinburgh
www.physics-maths.co.uk
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#103111 Functions and recurrence relations homework

Posted by Lee1994 on 21 September 2010 - 07:45 PM in Problem Questions

So... im really stuck and my teacher says she is too busy to help me! :(
Here goes... functions.
f(x)= 3-x and G(x)= 3/x, X does not equal 0
a Find p(x) where p(x)= f(g(x))
b If q(x)= 3/3-x, x does not equal 3, find p(q(x)) in it's simplest form

Also... recurrence relations.
Two sequences are generated by the recurrence realations un+1= aun + 10 and vn+1= a^2vn + 16
The two sequences approach the same limit as n tends to infinity.
Determine the value of a and evaluate the limit.

Hope someone can understand this. Good luck x