the equation will get a result out of the range [2-3]
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another question how can i know the number of iteration in fixed point , if I'm given the g(x) equation and error occur withing 10^-5
ex:
x=((e^x)/3)^(1/2) within 10^-5
I'm not given the range of the period.
yeah i know this equation but this is the answer in the solution manual
also what's the equation for knowing the number of iteration in fixed point?
i know this equation
(k^n)/(1-k) [b-a] <error
is there an easier form ?
then the 2nd condition "2. max and min value of the function is between [a,b] which in this case is 2,3" doesn't meet with this equation.
i've tried to get the solution from fixed point iteration calculator
http://maccery.com/maths/fixed_point.php
x=(25)^(1/3)
Accuracy = 10^-4
Starting...
there are 3 rules that every equation must pass before making iterations
1. function is continuous
2. max and min value of the function is between [a,b] which in this case is 2,3
3. [g'(x)]<1
so when i put 2 it should be within 2-3 range same for 3... but when i add 2 it gives answer out of...
1st condition of fixed point iteration solutions must be within the range [2-3]
it's very similar to Newton but i must use it to get the roots
i've checked wikipedia but still i can't figure out what's wrong , I've checked the solution manual of numerical analysis burdon , they got the...
Homework Statement
"Use a fixed-point iteration method to find an approximation to \sqrt[3]{25}that is accurate to within10^-4"
i need the solution in step by step ...
Homework Equations
x=g(x)
The Attempt at a Solution
all i can get is the range
\sqrt[3]{8} \leq \sqrt[3]{25} \leq...
Homework Statement
the spring oa is fixed from one end o to the bottom of a vertical circular smooth tube and from its other end to a slider a of mass m which can slide smoothly along the tube initially started from rest at a .
find :
i) angular velocity
II) angular acceleration at any...
what are fatigue cracks?
what are the major sources of fatigue withing the fuselage?
how can fatigue cracks be detected during inspection?
how can the risk of fatigue cracks in the fuselage be reduced?
why are they dangerous?
what is their origin?
I've tried to find answers for these...
in this step
L{2(t+1)}=2/s^2+2/s
i expanded the equation to (2t+2) then used Laplace transform for t^n & constant , is this right or wrong , since i understand that U(t-1) is the shift of the equation
is there a good reference with examples , i need to understand this part a little more.
the (t-a) is the shift , so i shouldn't be expanding it in the problem i solved above !
Homework Statement
L{2t u(t-1)}
Homework Equations
L{g(t) u(t-c)} = e^-cs L{g(t+c)}
The Attempt at a Solution
L{2t u(t-1)}=e^-s L{2(t+1)}
L{2(t+1)}=2/s^2+2/s
L{2t u(t-1)} = e^-s {2/s^2 + 2/s}
i think the whole attempt is wrong , I'm getting confused in this type of...